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ISSN : 1226-0657

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Vol.19 No.4

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WEAK BLOCH FUNCTIONS, φ-UNIFORM AND φ-JOHN DOMAINS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.4, pp.423-435
https://doi.org/10.7468/jksmeb.2012.19.4.423
Kim, Ki Won
Kim,, K. W. (2012). WEAK BLOCH FUNCTIONS, φ-UNIFORM AND φ-JOHN DOMAINS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(4), 423-435, https://doi.org/10.7468/jksmeb.2012.19.4.423

Abstract

We give some properties of weak Bloch functions and also give some properties of <TEX>${\phi}$</TEX>-uniform domains and <TEX>${\phi}$</TEX>-John domains in terms of moduli of continuity of Bloch functions and weak Bloch functions.

keywords
the quasihyperbolic metric, Bloch functions, weak Bloch functions, <tex> ${\phi}$</tex>-uniform and <tex> ${\phi}$</tex>-John domains

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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