Repository logo
 
Loading...
Thumbnail Image
Publication

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

Use this identifier to reference this record.

Advisor(s)

Abstract(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.

Description

Keywords

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

Citation

Research Projects

Organizational Units

Journal Issue

Publisher

Elsevier

CC License

Altmetrics

Plum Print visual indicator of research metrics
  • Citations
    • Citation Indexes: 61
  • Captures
    • Readers: 3
see details