• Bulletin of the Korean Mathematical Society
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• v.39 no.4
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• pp.687-704
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• 2002

We show that the class of inner chordarc domains is properly contained in the class of exterior quasiconvex domains. We also show that the class of exterior quasiconvex domains is properly contained in the class of John disks. We give the conditions which make the converses of the above results be true. Next , we show that an exterior quasiconvex domain satisfies certain growth conditions for the exterior Riemann mapping. From the results we show that the domain satisfies the Bernstein inequality and the integrated version of it. Finally, we assume that f is a function which is continuous in the closure of a domain D and analytic in D. We show connections between the smoothness of f and the rate at which it can be approximated by polynomials on an exterior quasiconvex domain and a $Lip_\alpha$-extension domain.

• Kyungpook Mathematical Journal
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• v.51 no.1
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• pp.29-36
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• 2011

Some global estimates for the Jacobians of quasiregular mappings f = ($f^1$, $f^2$, ${\cdots}$, $f^n$) of the Sobolev class $W^{1,n}$(${\Omega}$, $R^n$) in $L^{\varphi}({\mu})$-domains and John domains are established.

• East Asian mathematical journal
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• v.19 no.2
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• pp.291-303
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• 2003

A result of Hardy and Littlewood relates Holder continuity of analytic functions in the unit disk with a bound on the derivative. Gehring and Martio extended this result to the class of uniform domains. In this paper we obtain a similar result to the class of uniformly John domains in terms of the inner diameter metric. We give several properties of a domain with the property. Also we show some results on the Holder continuity of conjugate harmonic functions in the above domains.

• Communications of the Korean Mathematical Society
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• v.10 no.1
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• pp.145-153
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• 1995

A Jordan domain D in C is said to be a c-quasidisk if there exists a constant $c \geq 1$ such that each two points $z_1$ and $z_2$ in D can be joined by an arc $\tau$ in D such that $$ \ell(\tau) \leq c$\mid$z_1 - z_2$\mid$ $$ and $$ (1.1) min(\ell(\tau_1),\ell(\tau_2)) \leq c d(z, \partial D) $$ for all $z \in \tau$, where $\tau_1$ and $\tau_2$ are the components of $\tau\{z}$. Quasidisks have been extensively studied and can be characterized in many different ways [1],[2],[3].

• Communications of the Korean Mathematical Society
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• v.19 no.1
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• pp.53-62
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• 2004

A result of Hardy and Littlewood relates Holder continuity of analytic functions in the unit disk with a bound on the derivative. Gehring and Martio extended this result to the class of uniform domains. We call it the Hardy-Littlewood property. Langmeyer further extended their result to the class of John disks in terms of the inner length metric. We call it the Hardy-Littlewood property with the inner length metric. In this paper we give several properties of a domain which satisfies the Hardy-Littlewood property with the inner length metric. Also we show some results on the Holder continuity of conjugate harmonic functions in various domains.

• Journal of electromagnetic engineering and science
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• v.4 no.1
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• pp.43-49
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• 2004

A low-frequency coaxial reflectometer(LCR) with a thin-wire inner conductor is designed and constructed to measure nondestructively the absorbing performance of electromagnetic absorbers in the frequency range of 10 MHz to 200 MHz. The LCR consists of a square coaxial transmission line and a network analyzer with a time-domain measurement capability. Inherent characteristics of a square coaxial line with a thin-wire inner conductor which deteriorate the impedance matching of the input port of the LCR are addressed. And the characteristics are improved by employing a multiwire inner conductor. Measured and calculated reflection losses of a flat ferrite tile absorber are presented.

• Journal of the Korean Mathematical Society
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• v.34 no.1
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• pp.43-55
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• 1997

Suppose that D is a domain in the extended complex plane $\overline{C} = C \cup {\infty}$. For each $z_0 \in C$ and $C < r < \infty$, we let $B(z_0, r) = {z \in C : $\mid$z - z_0$\mid$ < r}$ and $S(z_0, r) = \partial B(z_0, r)$. For non-empty sets A, $B \subset \overling{C}$, diam (A) is the diameter of A and d(A, B) is the distance of A and B.

• Proceedings of the Korean Magnetic Resonance Society Conference
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• 1999.02a
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• pp.23-23
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• 1999

• Journal of the Korean Society of Costume
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• v.59 no.5
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• pp.19-40
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• 2009

The purpose of this study is to grasp the world of Galliano works who lead Dior Couture and to make use of this knowledge to comprehension of general trend in Haute Couture and $pr{\hat{e}}t-{\acute{a}}$-porter in the future. The method of research is to search for the characteristic of Haute Couture and the general tendency of Galliano works, and to view the inclination of Dior Couture by Galliano. For sphere of research, 2000s is discussed with focus on Haute Couture, exclusive of ready-to-wear. As a result, Galliano's Couture works were distinguished into four specificities. First, the historicity including historical event, personage and epoch. Second, the orientalism. Third, the pictorial characteristic including synthetic art and public art. Forth, the quality of humor. These subjects bring about a result that break down each boundary, in the method of interpreting, as try out mixing between every elements. Galliano pursue a new domain through the fusion of East and West, past and present, classic and pop, artistry and commercialism, this induce more familiar Haute Couture to the public, breaking the strict form of Couture. It seems that this tendency will be advanced toward extrovert Couture producing the low-age phenomenon in Couture, the mixture of multi-culture and the vitality. This fusion suggest the popularity and the commerciality of Couture, which is predicted decrease the difference between Couture and $pr{\hat{e}}t-{\acute{a}}$-porter.

• The korean journal of orthodontics
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• v.47 no.3
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• pp.186-194
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• 2017

Objective: To investigate the differences in oral health-related quality of life (OHRQoL) and self-reported jaw function between patients with hyperdivergent and normodivergent facial types. Methods: Eighty patients with a distinctively hyperdivergent facial type (mandibular plane angle greater than 2 standard deviations, or $42^{\circ}$) and 80 controls were individually matched according to age, sex, ethnicity, and treatment stage. Data were collected using self-report questionnaires such as the Oral Health Impact Profile (OHIP-14) and Jaw Functional Limitation Scale (JFLS-8). Results: The mean age of the patients was $17.2{\pm}4.6years$ (range, 12-49 years), with most (65.0%) being female and of New Zealand European origin (91.3%). Individuals with hyperdivergent facial types had higher overall and social domain scores on the OHIP-14 (p < 0.05) than did the ones with normodivergent facial types. However, the intergroup differences in JFLS-8 scores were not significant (p > 0.05). Conclusions: Jaw function appears to be similar in individuals with hyperdivergent and normodivergent facial morphologies. However, those with hyperdivergent facial types are more likely to self-report poorer OHRQoL than are those with normal faces, especially in relation to social aspects.