• East Asian mathematical journal
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• v.10 no.2
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• pp.299-301
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• 1994

• Communications of the Korean Mathematical Society
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• v.2 no.2
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• pp.145-150
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• 1987

• Bulletin of the Korean Mathematical Society
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• v.26 no.2
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• pp.179-184
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• 1989

• Communications of the Korean Mathematical Society
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• v.3 no.2
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• pp.153-155
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• 1988

• Journal of the Korean Mathematical Society
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• v.22 no.2
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• pp.181-189
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• 1985

• Honam Mathematical Journal
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• v.9 no.1
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• pp.57-69
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• 1987

• Honam Mathematical Journal
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• v.3 no.1
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• pp.139-165
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• 1981

• The Pure and Applied Mathematics
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• v.5 no.2
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• pp.101-108
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• 1998

For a smoothly bounded n-connected domain $\Omega$ in C, we get a formula representing the relation between the Szego" kernel associated with $\Omega$ and holomorphic mappings obtained from harmonic measure functions. By using it, we show that the coefficient of the above holomorphic map is zero in doubly connected domains.

• Journal of the Korean Mathematical Society
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• v.57 no.5
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• pp.1287-1298
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• 2020

Inspired by a classical approximation result of Bagemihl and Seidel on the disc, we provide generalized results on some proper domains in ℂⁿ about approximation of a continuous function by a holomorphic function in the Mergelyan's style.

• Journal of the Korean Mathematical Society
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• v.46 no.6
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• pp.1219-1232
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• 2009

Let H(B) denote the space of all holomorphic functions on the unit ball B of $\mathbb{C}^n$. Let $\varphi$ = (${\varphi}_1,{\ldots}{\varphi}_n$) be a holomorphic self-map of B and $g{\in}2$(B) with g(0) = 0. In this paper we study the boundedness and compactness of the generalized composition operator $C_{\varphi}^gf(z)=\int_{0}^{1}{\mathfrak{R}}f(\varphi(tz))g(tz){\frac{dt}{t}}$ from generalized weighted Bergman spaces into Bloch type spaces.