Dual Approach to Certain Questions for Weighted Spaces of Holomorphic Functions

2005/02/21 by Bulat N. Khabibullin
Mathematics · #math.CV #math.FA #msc:30D20 #msc:30D35 #msc:30H05 #msc:31A05 #msc:46E05

paper · pdf

published as Israel Math. Conf. Proceedings (Tel-Aviv, Dec. 19, 1997), 15 (2001), P. 207-219 · AMSTEX

arxiv created 2005/02/21 · arxiv updated 2009/12/01

Abstract

We set new dual problems for the weighted spaces of holomorphic functions of one variable in domains on the complex plane, namely: nontriviallity of a given space, description of zero sets, description of (non-)uniqueness sets, the representation of meromorphic functions as a quotient of holomorphic functions from a given space.

Related

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• Weighted Banach spaces of holomorphic functions in the upper half plane
• Structure of weighted Hardy spaces in the plane
• Differentiation and integration operators on weighted Banach spaces of holomorphic functions
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