Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502876 | Journal of Mathematical Analysis and Applications | 2005 | 18 Pages |
Abstract
We prove Sobolev-type p(â
)âq(â
)-theorems for the Riesz potential operator Iα in the weighted Lebesgue generalized spaces Lp(â
)(Rn,Ï) 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 Lp(â
)(Sn,Ï) on the unit sphere Sn in Rn+1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S. Samko, B. Vakulov,