On potential spaces related to Jacobi expansions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:432

Article

Langowski, Bartosz

关键词: Jacobi expansion;    Potential space;    Sobolev space;    Fractional square function;   

DOI  :  10.1016/j.jmaa.2015.06.058

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free