Approximation by Generalized Faber Series in Weighted Bergman Spaces on Infinite Domains With a Quasiconformal Boundary

Using an integral representation on infinite domains with a quasiconformal boundary the generalized Faber series for the functions in the weighted Bergman space $A^{2}(G,\omega )$ are defined and its approximation properties are investigated.   2000 Mathematics Subject Classification. 30E10, 41A10,...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 2; no. 1; pp. 23 - 39
Main Authors Israfilov, Daniyal M., Yildirir, Yunus E.
Format Journal Article
LanguageEnglish
Published 12.06.2024
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Summary:Using an integral representation on infinite domains with a quasiconformal boundary the generalized Faber series for the functions in the weighted Bergman space $A^{2}(G,\omega )$ are defined and its approximation properties are investigated.   2000 Mathematics Subject Classification. 30E10, 41A10, 41A25, 41A58
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.02.1.03