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Regularity in Orlicz spaces for the Poisson equation

✍ Scribed by Huilian Jia; Dongsheng Li; Lihe Wang

Publisher
Springer
Year
2007
Tongue
English
Weight
143 KB
Volume
122
Category
Article
ISSN
0025-2611

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## Abstract Stein and Taibleson gave a characterization for __f__ ϵ L~p~(ℝ__^n^__) to be in the spaces Lip (α, __L~p~__) and __Zyg__(α__, L~p~__) in terms of their Poisson integrals. In this paper we extend their results to Lipschitz‐Orlicz spaces __Lip__ (α__, L~m~__) and Zygmund‐Orlicz spaces __Z