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Titlebook: Holomorphic Functions and Moduli I; Proceedings of a Wor D. Drasin,I. Kra,F. W. Gehring Conference proceedings 1988 Springer-Verlag New Yor

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书目名称Holomorphic Functions and Moduli I
副标题Proceedings of a Wor
编辑D. Drasin,I. Kra,F. W. Gehring
视频video
丛书名称Mathematical Sciences Research Institute Publications
图书封面Titlebook: Holomorphic Functions and Moduli I; Proceedings of a Wor D. Drasin,I. Kra,F. W. Gehring Conference proceedings 1988 Springer-Verlag New Yor
描述The Spring 1986 Program in Geometric Function Theory (GFT) at the Mathematical Sciences Research Institute (MSRI) brought together mathe­ maticians interested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a mini-conference on String Theory attended by both mathematicians and physicists. These activities produced interesting results and fruitful interactions among the partici­ pants. These volumes represent only a portion of the papers that will even­ tually result from ideas developed in the offices and corridors of MSRI‘s elegant home. The Editors solicited contributions from all participants in the Program­ whether or not they gave a talk at the Workshop. Papers were also submit­ ted by mathematicians invited but unable to attend. All manuscripts were refereed. The articles included here cover a broad spectrum, representative of the activities during the semester. We have made an attempt to group them by subject, for the reader‘s convenience. The Editors take pleasure in thanking all participants, authors and ref­ erees for their work in producing these volume
出版日期Conference proceedings 1988
关键词Riemann surface; analytic function; distribution; dynamics; holomorphic function; quasiconformal mapping
版次1
doihttps://doi.org/10.1007/978-1-4613-9602-4
isbn_softcover978-1-4613-9604-8
isbn_ebook978-1-4613-9602-4Series ISSN 0940-4740
issn_series 0940-4740
copyrightSpringer-Verlag New York Inc. 1988
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Conference proceedings 1988terested in Teichmiiller theory, quasiconformal mappings, Kleinian groups, univalent functions and value distribution. It included a large and stimulating Workshop, preceded by a mini-conference on String Theory attended by both mathematicians and physicists. These activities produced interesting re
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Harmonic functions in quasicircle domainsre of .. We assume that the modulus of continuity of u is majorized by a suitable type of function on the boundary of . and obtain estimates for the modulus of continuity of.in..We show by examples that in a certain sense these estimates are best possible.
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Bloch and normal functions on general planar regionsbolic density on Ω. Roughly speaking, we show that holomorphic functions cannot distinguish between λ. and l/δ. while meromorphic functions sometimes can. More precisely, for a holomorphic function . on Ω the quantities |.′ (.)|/(.)/λ. (.) and |.′ (.)|δ.(.) are both either uniformly bounded on Ω (th
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The coefficient problem for univalent functions with quasiconformal extensionn this paper we obtain the exact bound for the coefficients of functions in the class .(.) of normalized univalent functions on the unit disk with .-quasiconformal extension, where . is small. This answers a question of Kühnau and Niske [.]. The method is based on application of the known properties
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Cone conditions and quasiconformal mappingsmension .= 2 the literature of geometric function theory abounds in results that correlate distinctive geometric properties of the domain . with special behavior, be it qualitative or quantitative, on the part of . or its inverse. There is a more modest, albeit growing, body of work that attempts to
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