Sobolev spaces associated with Jacobi expansions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:420

Article

Langowski, Bartosz

关键词: Jacobi expansion;    Sobolev space;    Potential space;    Poisson-Jacobi integral;    Maximal operator;   

DOI  :  10.1016/j.jmaa.2014.06.063

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free