Sobolev spaces associated with Jacobi expansions
Classical Analysis and ODEs
2014-10-27 v1
Abstract
We define and study Sobolev spaces associated with Jacobi expansions. We prove that these Sobolev spaces are isomorphic to Jacobi potential spaces. As a technical tool, we also show some approximation properties of Poisson-Jacobi integrals.
Cite
@article{arxiv.1312.7285,
title = {Sobolev spaces associated with Jacobi expansions},
author = {Bartosz Langowski},
journal= {arXiv preprint arXiv:1312.7285},
year = {2014}
}