On potential spaces related to Jacobi expansions
Classical Analysis and ODEs
2015-12-31 v1
Abstract
We investigate potential spaces associated with Jacobi expansions. We prove structural and Sobolev-type embedding theorems for these spaces. We also establish their characterizations in terms of suitably defined fractional square functions. Finally, we present sample applications of the Jacobi potential spaces connected with a PDE problem.
Cite
@article{arxiv.1410.6635,
title = {On potential spaces related to Jacobi expansions},
author = {Bartosz Langowski},
journal= {arXiv preprint arXiv:1410.6635},
year = {2015}
}
Comments
21 pages