Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators

Samko, Stefan; Vakulov, B.

http://hdl.handle.net/10400.1/11861

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Autores

Samko, Stefan

Vakulov, B.

Resumo(s)

We prove Sobolev-type p((.)) -> q ((.))-theorems for the Riesz potential operator I-alpha in the weighted Lebesgue generalized spaces L-p(.)(R-n, p) with the variable exponent p (x) and a two-parametrical power weight fixed to an arbitrary finite point and to infinity, as well as similar theorems for a spherical analogue of the Riesz potential operator in the corresponding weighted spaces L-p(.)(S-n, p) on the unit sphere S-n in Rn+1. (c) 2005 Elsevier Inc. All rights reserved.

Palavras-chave

Generalized Lebesgue Fractional integrals Spaces Convolution Weighted Lebesgue spaces Variable exponent Riesz potentials Spherical potentials Stereographical projection

URI

http://hdl.handle.net/10400.1/11861

Editora

Elsevier

DOI

10.1016/j.jmaa.2005.02.002

Coleções

FCT2-Artigos (em revistas ou actas indexadas)

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