• Title/Summary/Keyword: maximal function.

Search Result 418, Processing Time 0.024 seconds

[Lp] ESTIMATES FOR A ROUGH MAXIMAL OPERATOR ON PRODUCT SPACES

  • AL-QASSEM HUSSAIN MOHAMMED
    • Journal of the Korean Mathematical Society
    • /
    • v.42 no.3
    • /
    • pp.405-434
    • /
    • 2005
  • We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

The Effects on the Convergence Vital Capacity and Maximal Voluntary Volume of 20's Normals Proprioceptive Neuromuscular Facilitation Respiration Exercise by Sitting Position (45도 기대어 앉은 자세에서 PNF호흡운동이 20대 정상인의 복합적 폐활량과 최대환기량에 미치는 영향)

  • Kim, Ok-Ki;Park, Seung-Hwan;Seo, Kyo-Chul
    • Journal of the Korea Convergence Society
    • /
    • v.11 no.5
    • /
    • pp.43-49
    • /
    • 2020
  • The purpose of this study was to determine whether PNF respiratory exercise increases the vital capacity and maximal voluntary volume of 20s normal adults by 45° leaning sitting position. Twenty normal adults in their 20s were randomly assigned to an experimental group and control group. Over the course of four weeks, the experimental group participated in PNF respiration exercises by 45° leaning position for 30 minutes three per week. And the control group participated in diaphragm respiration exercises by 45° leaning position for 30 minutes three times per week. Subjects were assessed post-test by measurement of vital capacity, maximal voluntary volume. Our findings show that the experimental group had significant improvements in vital capacity, maximal voluntary volume(p<.05). In this study, the experimental group showed more improvement in pulmonary function, which indicates that the PNF respiratory exercise by 45° leaning sitting position is effective at increasing the pulmonary function of normal adults.

Correlations Between Maximal Isometric Strength and the Cross-Sectional Area of Lumbrical Muscles in the Hand

  • Jung, Doh-Heon;Lee, Won-Hwee;Kim, Su-Jung;Cynn, Heon-Seock
    • Physical Therapy Korea
    • /
    • v.18 no.4
    • /
    • pp.34-42
    • /
    • 2011
  • The lumbrical muscles contribute to the intrinsic plus position, that is simultaneous metacarpophalangeal (MCP) flexion and interphalangeal (IP) extension. The strength of the lumbrical muscles is necessary for normal hand function. However, there is no objective and efficient method of strength measurement for the lumbrical muscles. In addition, previous studies have not investigated the measurement of the cross-sectional area (CSA) of the lumbrical muscles using ultrasonography (US) and the relationship between lumbrical muscle strength in the intrinsic plus position and the CSA. Therefore, the purpose of this study was to identify the measurement method of the CSA of the lumbrical muscles using US and to examine the relationship between maximal isometric strength and the CSA of lumbrical muscles. Nine healthy males participated in this study. Maximal isometric strength of the second, third, and fourth lumbrical muscles was assessed using a tensiometer in the intrinsic plus position which isolated MCP flexion and IP extension. The CSA of the lumbrical muscles was measured with an US. The US probe was applied on the palmar aspect of the metacarpal head with a transverse view of the hand in resting position. There was no significant difference between maximal isometric strength of the lumbrical muscles, but the fourth lumbrical muscle was stronger than the others. The CSA of the lumbrical muscles was significantly different and the fourth lumbrical muscle was significantly larger than the second lumbrical muscle. There was moderate to good correlation between maximal isometric strength and the CSA of the lumbrical muscles. Therefore, we conclude that maximal isometric strength of the lumbrical muscles was positively correlated to the CSA of the lumbrical muscle in each finger, while the measurement of the CSA of the lumbrical muscles, using US protocol in this study, was useful for measuring the CSA of the lumbrical muscles.

Effect of 8 weekas aerobic dance training on the body composition, cardiopulmonary function and blood cholesterol concentration in young women (젊은여성에서 8주간의 aerobic dance 훈련이 체구성, 심폐기능, 혈중 콜레스테롤 농도에 미치는 효과)

  • 최명애
    • Journal of Korean Academy of Nursing
    • /
    • v.18 no.2
    • /
    • pp.105-117
    • /
    • 1988
  • To evaluate training effect, aerobic dance was performed by eight female collegestudents for 8 weeks. Body composition, cardiopulmonary function at rest and during maximal exercise, blood cholesterol concentration at rest were determined before and after 8weeks of aerobic dance training. Maximal exercise was performed on the treadmill according of Bruce protocol. Pre to post training differences were evaluated. The results obtained were as follows : 1. After the training, skinfold thickness and total body fat decreased significantly(p<0.1) while lean body mass increased with significance (p<0.1). 2. Heart rate and arterial blood pressure at rest decreased without sinificance after the training. 3. As a result of training, forced vital capacity and forced expiratory volume for a second increased significantly (p<0.01, p<0.1). 4. After the training period, heart rate at 3, 6, and 9 min. during treadmill exercise was significantly lower than those of pretraining (p<0.05). 5. After the training, systolic and diastolic blood pressure at 6 and 9 min during the exercise was significantly lower than those of pretraining (p<0.025, p<0.1). 6. After the training, oxygen uptake at 3 and 6 min during the exercise was significantly greater than those of pretraining (p<0.05). 7. As a result of training, the maximal oxygen uptake increased significantly during the exercise (p<0.1). 8. After the training, expired air volume for a minute at 3 and 6 min during the exercise was signigicantly grerter than those of pretraining (p<0.1). 9. After the training, repiratory quotient during the exercise was lower than pretaining without significance. 10. After the training, blood HDL -cholesterol concentration incereased with significance, (p<0.1) blood total cholesterol and triglycerids concentration decreasedsignificantly (p<0.1). From these results, it may be concluded that 8 week aerobic dance training reduces skinfold thickness and body fat contents, improves the cardiopulmonary function and tissue oxygen utilization, reduces blood cholesterol and triglyceride concentration and brings about the increase of blood HDL-cholesterol concentriation.

  • PDF

Effect of Vibratory Stimulation on Recovery of Muscle function from Delayed Onset Muscle Soreness

  • Koh, Hyung-Woo;Kim, Cheol-Yong;Kim, Gye-Yoep;Kim, Kyung-Yoon;Kim, Soo-Geun;Lee, Hong-Gyun
    • Korean Journal of Exercise Nutrition
    • /
    • v.16 no.1
    • /
    • pp.43-50
    • /
    • 2012
  • This study was designed to investigate the effect of vibratory stimulation on recovery of muscle function from delayed onset muscle soreness (DOMS). Volunteers performed 3 set of 70 % maximal voluntary eccentric muscle contraction and induced DOMS. volunteers were allocated to one of three treatment group after DOMS : group I (control), group II (ultrasound), group III (vibration). Maximal Voluntary Isometric Contraction (MVIC), Visual Analog Scale (VAS), Range Of Motion (ROM), Root Mean Square (RMS), Median frequency (MDF), Blood Serum Creatine Kinase (CK), Lactic dehydrogenase (LDH) were recorded at baseline, and 24, 48, 72 hours post-exercise. In MVIC measurement, there was a statistically significant difference in group III compared to group I (p < .05). In VAS measurements, there were a statistically significant difference in group II and III compared to group I (p < .05). In ROM measurement, there was a statistically difference in group II and III compared to group I (p < .05). In Muscle Volume with Ultrasonography measurement, there was no statistically significant difference in any groups (p > .05). In RMS and MDF measurement, there were a statistically significant difference in group II and III compared to group I (p < .05). In Blood samples of CK and LDH measurements, There were no statistically significant difference in any groups (p > .05). From the above result, Vibratory stimulation had a positive effect on recovery of muscle function from delayed onset muscle soreness. Further studies should be undertaken to ascertain the more effectiveness of vibratory stimulation and may be a promising treatment modality.

Physiological Responses to Maximal Exercise Loading in Spinal Cord Injured Paraplegia (척수손상으로 인한 하반신마비 환자의 최대운동부하시 생리학적 반응)

  • Yu, Byong-Kyu;Chung, Nak-Su
    • Physical Therapy Korea
    • /
    • v.6 no.2
    • /
    • pp.56-66
    • /
    • 1999
  • The purpose of this study focused how to show physiological responses comparing exercise group and non exercise group for progressive maximal wheelchair ergometer exercise loading in complete paraplegia. It also examined the various factors which would be influenced physiological responses. Sixteen subjects have been investigated in this study, and the subjects are divided into two groups as follows: 1) exercise group (7 subjects) 2) non exercise group (9 subjects). Each test was terminated by physical exhaustion and/or an inability to maintain a flywheel velocity. The results were as follows: 1) No difference was noted in pulmonary function test between two groups. 2) $\dot{v}$ Emax value during maximal exercise was significantly different between the groups (p<0.05). The mean $\dot{v}$ Emax of exercise group was $69.67{\ell}/min$, non exercise group was $41.47{\ell}/min$. 3) $\dot{v}$ $O_2max$(${\ell}/min$) value during maximal exercise was significantly different between the groups (p<0.05). The mean $\dot{v}$ $O_2max$(${\ell}/min$) of exercise group was $1.72{\ell}/min$, non exercise group was $1.15{\ell}/min$. 4) $\dot{v}$ $O_2$ max(ml/kg/min) value during maximal exercise was significantly different between the groups (p<0.05). The mean $\dot{v}$ $O_2max$($ml/kg{\cdot}min$) of exercise group was $25.99ml/kg{\cdot}min$, non exercise group was $18.61{\ell}/min$. 5) Maximal heart rate(HRmax) value during maximal exercise was significantly different between the groups (p<0.05). The mean HRmax of exercise group was 180.43 beats/min, non exercise group was 175.00 beats/min. 6) $\dot{v}\;E/\dot{v}\;O_2$ value during maximal exercise was not significantly different between the groups (p>0.05). The mean $\dot{v}\;E/\dot{v}\;O_2$ of exercise group was $36.36{\ell}/{\ell}\;O_2$, non exercise group was $45.46{\ell}/{\ell}\;O_2$. Considering the results which explore the exercise group with paraplegia has shown the maximal aerobic power compared with non exercise group, regular and consistent physical training is highly assumed as a main factor to improve cardiopulmonary fitness.

  • PDF

SHARP FUNCTION AND WEIGHTED $L^p$ ESTIMATE FOR PSEUDO DIFFERENTIAL OPERATORS WITH REDUCED SYMBOLS

  • Kim, H.S.;Shin, S.S.
    • East Asian mathematical journal
    • /
    • v.6 no.2
    • /
    • pp.133-144
    • /
    • 1990
  • In 1982, N. Miller [5] showed a weighted $L^p$ boundedness theorem for pseudo differential operators with symbols $S^0_{1.0}$. In this paper, we shall prove the pointwise estimates, in terms of the Fefferman, Stein sharp function and Hardy Littlewood maximal function, for pseudo differential operators with reduced symbols and show a weighted $L^p$-boundedness for pseudo differential operators with symbol in $S^m_{\rho,\delta}$, 0{$\leq}{\delta}{\leq}{\rho}{\leq}1$, ${\delta}{\neq}1$, ${\rho}{\neq}0$ and $m=(n+1)(\rho-1)$.

  • PDF

THE EFFECT OF INTRA-ARTICULAR INJECTION OF HYALURONIC ACID AFTER ARTHROCENTESIS IN TREATMENT OF INTERNAL DERANGEMENTS OF THE TMJ (악관절 내장증 치료를 위한 악관절 세정술 후 관절강내 Hyaluronic Acid 주입 효과)

  • Kim, Jae-Jin
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
    • /
    • v.32 no.5
    • /
    • pp.453-457
    • /
    • 2006
  • This study was designed to investigate the effect of intra-articular injection of hyaluronic acid for the treatment of internal derangements of the temporomandibular joint(TMJ). Sixteen patients with internal derangements of TMJ in 1 male and 15 females aged 68 to 18 years comprised the study material. The patients' complaint was limited mouth opening and pain during function. Patients were divided into 3 groups(articular disc displacement with reduction, articular disc displacement without reduction, osteoarthritis group). The preauricular area was disinfected anesthetized locally with 2% lidocaine hydrochloride. Arthrocentesis was performed. Hyaluronic acid(1.5 ㏄) was then injected into the superior compartment of the TMJ. Active range of motion exercises were instituted at approximately 24 hours postoperatively. Antibiotics and NSAID, three times daily by mouth, was prescribed for 3 days. Clinical evaluation of the patients was done before the procedure, immediately after the procedure, final follow-up visit postoperatively. Pain during function was assessed using visual analog scales(VAS). Maximal mouth opening was recorded as a distance between upper incisal edge and lower incisal edge. Intra-articular injection of hyaluronic acid caused significant reduction of pain during function, significant increase of maximal opening range. These findings suggest that intra-articular injection of hyaluronic acid is useful for decreasing patient reports of pain while increasing functional mobility of the mandible in internal derangements of the TMJ.

Another View Point on the Performance Evaluation of an MC-DS-CDMA System

  • Chen, Joy Iong-Zong;Hsieh, Tai Wen
    • Journal of Communications and Networks
    • /
    • v.11 no.3
    • /
    • pp.240-247
    • /
    • 2009
  • The results of performance analysis by adopting the channel scenarios characterized as Weibull fading for an multicarrierdirect sequence-coded division multiple access (MC-DS-CDMA) system are proposed in this investigation. On the other hand, an approximate simple expression with the criterion of bit error rate (BER) versus signal-to-noise ratio (SNR) method is derived for an MC-DS-CDMA system combining with maximal ratio combining (MRC) diversity based on the moment generating function (MGF) formula of Weibull statistics, and it associates with an alternative expression of Gaussian Q-function. Besides, the other point of view on the BER performance evaluation of an MC-DS-CDMA system is not only the assumption of both single-user and multi-user cases applied, but the phenomena of partial band interference (PBI) is also included. Moreover, in order to validate the accuracy in the derived formulas, some of the system parameters, such as Weibull fading parameter (${\beta}$), user number (K), spreading chip number (N), branch number (L), and the PBI (JSR) values, etc., are compared with each other in the numerical results. To the best of author's knowledge, it is a brand new idea which proposes the evaluation of the system performance for an MC-DS-CDMA system over the point of view with Weibull fading channel.

Comparison of Heart Rate and Blood Lactate between Ingestion of Prunus mume Solution and Water during Graded Maximal Exercise in Hot Environment (고온에서의 점증적 최대운동시 매실함유 음료 밀 생수섭취에 따른 심박수 및 혈중 젖산농도 변화의 비교)

  • 김기진;배지현
    • Journal of the East Asian Society of Dietary Life
    • /
    • v.9 no.3
    • /
    • pp.356-362
    • /
    • 1999
  • Humans may lose considerable amounts of water and electrolytes from sweat during exercise in a hot climate. Optimal ingestion of fluid-replacement beverages may overcome an obstacle factor of exercise performance in the heat. This study was performed the comparison of heart rate and blood lactate between ingestion of Prunus mume solution and water solution during graded maximal exercise using bicycle ergometer in the heat(ambient temperature of 31-32$^{\circ}C$ and relative humidity of 50-55%). Ten healthy no-heat-acclimatized males participated in the study. Exercise duration until all-out of graded testing in the condition of Prunus mume solution ingestion(786.15$\pm$47.66s) was significantly higher(P<0.05) than the condition of water ingestion. Heart rate at 4 min during graded testing and recovery phase in the condition of Prunus mume solution ingestion was significantly lower(P<0.05) than the condition of water ingestion. Blood lactate concentration at 30min of recovery phase after graded maximal exercise in the condition of Prunus mume solution ingestion was significantly lower(P<0.05) than the condition of water ingestion. Recovery rate of blood lactate concentration at 15 min and 30 min of recovery phase after grated maximal exercise in the condition of Prunus mume solution ingestion was significantly lower(P<0.05) than the condition of water ingestion. Present results suggested that ingestion of Prunus mume solution showed the positive effects on the cardiorespiratory function and acid-base regulation as compared with ingestion of water during graded maximal exercise and recovery phase in hot environment.

  • PDF