• Communications of the Korean Mathematical Society
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• v.10 no.4
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• pp.881-887
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• 1995

Let f be a measurable function on the unit ball B in $C^n$, then we define a maximal function $M_p(f), 1 \leq p < \infty$, by $$ M_p(f)(\zeta ) = \sup_{\delta > 0}(\frac{1}{\sigma(\beta(\zeta, \delta))} \int_{T(\beta(\zeta, \delta))} $\mid$f(z)$\mid$^p \frac{d\nu(z)}{(1-$\mid$z$\mid$^n})^{1/p} $$ where $\sigma$ denotes the surface area measure on S, the boundary of B, and $T(\beta(\zeta, \delta))$ denotes the tent over the ball $\beta(\zeta, \delta)$. We prove that the maximal operator $M_p$ belongs to the Muckenhoupt class $A_1$.

• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.297-308
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• 2002

• Journal of the Korea Institute of Information Security & Cryptology
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• v.15 no.6
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• pp.105-110
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• 2005

The linearized polynomial fan be regarded as a generalization of the identity function so that the inverse of the linearized polynomial is a generalization of e inverse function. Since the inverse function has so many good cryptographic properties, the inverse of the linearized polynomial is also a candidate of good Boolean functions. In particular, a construction method of vector resilient functions with high algebraic degree was proposed at Crypto 2001. But the analysis about the algebraic degree of the inverse of the linearized Polynomial. Hence we correct the inexact result and give the exact maximal algebraic degree.

• The Journal of Korean Physical Therapy
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• v.25 no.3
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• pp.155-159
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• 2013

Purpose: Circumference of the chest and waist can be one of clinical indicator to reflect respiratory function in children with cerebral palsy. In this study, we compared to differences in the chest/waist circumference and maximal phonation time between children with spastic diplegia and hemiplegia. Methods: Seventeen children with spastic diplegic and hemiplegic cerebral palsy were recruited, who were matched to gender, age, height, weight, and body mass index for control of the known factors affected to respiratory function. The chest/waist circumference and were measured in each group, when children took a breath at rest and at maximal voluntary inspiration/expiration. Results: No significant differences were found in the chest and waist circumference and expansion between the two groups. However, only in the waist expansion, children with diplegic CP were significantly lower extensibility of lung, compared to the other group. In comparison of the maximal phonation time, a significant lower score was shown in children with spastic diplegic CP, compared to children with hemiplegic CP. Conclusion: Our results indicated that children with spastic diplegic CP had smaller chest wall and waist, compared to children with spastic hemiplegic CP. In addition, they showed a shorter time for sustaining phonation than spastic hemiplegic CP did. Therefore, spastic diplegic CP will be required for careful monitor regarding respiratory function in rehabilitation settings.

• PNF and Movement
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• v.16 no.3
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• pp.461-473
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• 2018

Purpose: The purpose of this study was to evaluate and compare the effects of inspiratory muscle training with chest expansion exercises on pulmonary function, maximal inspiratory pressure, and gait in individuals with stroke. Methods: The participants in this study included 36 stroke patients. These patients were randomly divided into three groups: an inspiratory muscle training (IMT) with chest expansion (CE) group (n=12), an IMT group (n=12), and a control group (n=12). Participants in the IMT with CE group underwent IMT and CE exercises 5 times per week for 30 minutes over 4 weeks, whereas those in the CE group and the control group received IMT and conventional physical therapy, respectively, for the same duration. The investigator measured the patients' pulmonary function, maximal inspiratory pressure, and gait endurance. Results: After the intervention, the change values for the forced vital capacity (FVC), forced expiratory volume in one second (FEV1), peak expiratory flow (PEF), maximal inspiratory pressure (MIP), and six-minute walk test (6MWT) in the IMT with CE group and the control group were significantly greater than those of the control group (p<0.05). Similarly, after the intervention, the change values of the FVC, FEV1, PEF, MIP, and 6MWT in the IMT with CE group were significantly greater than those in the IMT group (p<0.05). Conclusion: These findings suggest that IMT with CE could be used to increase pulmonary function, maximal inspiratory pressure, and gait endurance in stroke patients.

• Journal of the Korean Society of Laryngology, Phoniatrics and Logopedics
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• v.14 no.2
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• pp.88-93
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• 2003

Whether respiratory muscle training is of benefit to the singing students is controversial. The purpose of the study is to investigate pulmonary function and the maximal inspiratory(MIP) and expiratory pressure(MET), and maximum phonation time in five female singing students before and after the specially programmed respiratory muscle training during 2 months. All singing students had average 4.8 years of formal classical voice training. Respiratory muscle training machine (Ultrabreath) was used to train respiratory muscle. Pulmonary function test data on simple pulmonary function, flow volume curve, static lung volumes are obtained from Vmax 6200. The MIP and MEP were measured using Spirovis, and the MPT were measured using hand-held stopwatch. Any pulmonary function test variables are not changed after respiratory muscle training. However, MIP and MEP were significantly increased between before and after respiratory muscle training. MPT increased significantly after training, compared to the pre-trained. MIP, MEP, and MPT after training in female singing students were 26%, 25% and 33% higher than those before training. The result indicated that the specially programmed respiratory muscle training is beneficial to improve respiratory muscle strength and vocal function without an increment in pulmonary function.

• Journal of the Korean Society of Physical Medicine
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• v.9 no.4
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• pp.399-406
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• 2014

PURPOSE: The purpose of this study was to examine the effects of respiratory muscle training on respiratory function, respiratory muscle strength, and cough capacity in stroke patients. METHODS: This study used a nonequivalent control group pre-post test design. We recruited thirty-four stroke patients(16male, 18female), who were assigned to intervention (n=17), or control (n=17) groups. Both groups participated in a conventional stroke rehabilitation program, with the intervention groups also receiving respiratory muscle training 20 minutes a day, three times a week, for 4 weeks. Respiratory function (forced vital capacity) and respiratory muscle strength (maximal inspiratory pressure, maximal expiratory pressure) were assessed by spirometry. Cough capacity (peak expiratory flow) was assessed using a peak flow meter. The collected data were analyzed by independent and paired t-tests. RESULTS: The intervention group showed a significant increase in the forced vital capacity (FVC), maximal inspiratory pressure (MIP), maximal expiratory pressure (MEP) and peak expiratory flow (PEF) at the end of the program, while the control group showed no significant changes. CONCLUSION: This study showed that respiratory muscle training increased respiratory function, respiratory muscle strength, and cough capacity in stroke patients and prevented a decrease in cough capacity. These findings suggest that respiratory muscle training effect on respiratory function, respiratory muscle strength and cough capacity for rehabilitation in patients with stroke.

• Physical Therapy Korea
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• v.25 no.3
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• pp.60-67
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• 2018

Background: Progressive muscle weakness is aggravated not only in the skeletal muscles but also in the respiratory muscles in many patients with neuromuscular diseases (NMD). Inspiratory muscle training (IMT) has been reported as therapy for pulmonary rehabilitation to improve respiratory strength, endurance, exercise capacity, and quality of life, and to reduce dyspnea. Objects: The purpose of this study was to determine the effect of playing harmonica for 5 months on pulmonary function by assessing the force vital capacity (FVC), peak cough flow (PCF), maximal inspiratory pressure (MIP), maximal expiratory pressure (MEP), and maximal voluntary ventilation (MVV) in patients with NMD. Methods: Six subjects with NMD participated in this study. The subjects played harmonica once a week for 2 hours at a harmonica academy and twice a week for 1 hour at home. Thus, training was performed thrice a week for 23 weeks. The examiner assessed pulmonary function by measuring FVC in the sitting and supine positions and PCF, MIP, MEP, and MVV in the sitting position at the beginning of training and once a month for 5 months. Results: Both sitting and supine FVC significantly increased after playing harmonica (p=.042), as did MIP (p=.043) and MEP (p=.042). Conclusion: Playing harmonica can be used as an effective method to improve pulmonary function in patients with NMD.

• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.277-303
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• 2021

Under the rough kernels Ω belonging to the block spaces B0,qr (Sn-1) or the radial Grafakos-Stefanov kernels W����(Sn-1) for some r, �� > 1 and q ≤ 0, the boundedness and continuity were proved for two classes of rough maximal singular integrals and maximal operators associated to polynomial mappings on the Triebel-Lizorkin spaces and Besov spaces, complementing some recent boundedness and continuity results in [27, 28], in which the authors established the corresponding results under the conditions that the rough kernels belong to the function class L(log L)α(Sn-1) or the Grafakos-Stefanov class ����(Sn-1) for some α ∈ [0, 1] and �� ∈ (2, ∞).

• The Journal of Korean Academy of Prosthodontics
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• v.37 no.1
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• pp.23-41
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• 1999

During the previous several decades the osseointegrated implants have been considered as the most ideal therapy for the fully edentulous or partially edentulous patients. Although the research on the biocompatibility of osseointegration, the oral tactile function, and the histo-neurologic study had been performed, the change of the oral tactile sensibility and maximal occlusal force according to the postinsertion time of implant prostheses has not been studied. The purpose of this study was to compare the oral tactile sensibility and maximal occlusal force of implant pros-theses to natural teeth according to the specific postinsertion time intervals. The fifty seven patients treated with $Br{\aa}nemark$ implants during the recent seven years were involved in this study. The oral tactile sensibility and maximal occlusal force were measured according to the postinsertion time (${\leqq}6\;months,\;{\leqq}12\;{\leqq}\;18\;months\;{\leqq}\;24\;months,\;and\;{\geqq}20\;months$) 1. The passive tactile threshold of implants was higher than 6-7 times when comparing to natural teeth(P<0.05) 2. The absolute pressure threshold in horizontal and vertical direction for the passive tactile sensibility had decreased significantly in the post insertion time 13-18 months group and had increased significantly in the post insertion time over 25 months group (P<0.05) 3. 50% limit thickness and 100% absolute thickness for the active tactile sensibility had decreased significantly in the postinsertion time 7-12 months group ($AT_{50}:P<0.005,\;AT_{100}:P<0.05$) 4. The maximal occlusal force of the implants prostheses had decreased when comparing with natural teeth in the postinsertion time 1-6 months group(P<0.05) and after that there was no significant difference between the implant prostheses and natural teeth(P<0.05) 5. Maximal occlusal force according to the postinsertion time had increased significantly in the 13-18 months group (P<0.05) after that there was no significant difference. 6. There was positive correlation between age and oral tactile sensibility tested in horizontal and vertical direction ($P_{H:r}=0.39,\;P_{v:r}=0.41$) and there was no correlation between age and maximal occlusal force, age and active tactile sensibility 7. According to the results or the questionnaire, 76.6% of the patients were satisfied with the function and 96.7% of the patients were satisfied with the sensibility. In conclusion oral tactile sensibility and maximal occlusal force of implants have changed with the postinsertion time. Oral tactile function of implants was lower than that of the natural teeth, but for the maximal occlusal force there was no difference between implants and natural teeth.