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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)