The Bézout equation for functions of log‐type growth in convex domains of finite type | Zendy

Jasiczak Michał | Zendy

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The Bézout equation for functions of log‐type growth in convex domains of finite type

Author(s) -

Jasiczak Michał

Publication year - 2010

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200710015

Subject(s) - mathematics , holomorphic function , convex domain , type (biology) , bounded function , domain (mathematical analysis) , boundary (topology) , regular polygon , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , geometry , ecology , biology

The aim of this paper is to solve a division problem for the algebra of functions, which are holomorphic in a domain D ⊂ C n , n > 1, and grow near the boundary not faster than some power of –log dist( z , bD ). The domain D is assumed to be smoothly bounded and convex of finite d'Angelo type (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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