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

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...

Full description

Bibliographic Details
Main Author: Samko, Stefan (author)
Other Authors: Vakulov, B. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Generalized Lebesgue
Fractional integrals
Spaces
Convolution
Weighted Lebesgue spaces
Variable exponent
Riesz potentials
Spherical potentials
Stereographical projection
Online Access:http://hdl.handle.net/10400.1/11861
Country:Portugal
Oai:oai:sapientia.ualg.pt:10400.1/11861
Description
Summary: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.

Similar Items