Weighted holomorphic Besov spaces on the polydisk

This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation. Let 1≤p<∞,ω=(ω1,…,ωn),ωj∈S(1≤j≤n) and f∈H(Un). The function f is said to be an element of the holomorphic Besov s...

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Bibliographic Details
Main Authors: Anahit V. Harutyunyan, Wolfgang Lusky
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2011/637083