Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
Classical Analysis and ODEs
2016-05-03 v3
Abstract
We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev spaces. Among further results, we obtain a fractional square function characterization, structural theorems and Sobolev type embedding theorems for these potential spaces.
Keywords
Cite
@article{arxiv.1505.01653,
title = {Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions},
author = {Bartosz Langowski},
journal= {arXiv preprint arXiv:1505.01653},
year = {2016}
}