Study on embedding of a class of weighted Sobolev spaces

ZHANG Shutao， HAN Yazhou*

doi:10.15983/j.cnki.jsnu.2023003

Journal of Shaanxi Normal University(Natural Science Edition) >

2023 , Vol. 51 >Issue 1: 21 - 25

DOI: https://doi.org/10.15983/j.cnki.jsnu.2023003

Study on embedding of a class of weighted Sobolev spaces

ZHANG Shutao， HAN Yazhou*

Expand

(Department of Science, China Jiliang University, Hangzhou 310018, Zhejiang, China)

Online published: 2023-05-06

Fold

Abstract

The compactness of a class of integral operators is proved, which is closely related to Stein-Weiss inequality. Using some techniques such as extension operator, representation formula and Stein-Weiss inequality, a class of Rellich-Kondrachov type compact embedding was given for a class of weight Sobolev spaces.

Key words： weighted Sobolev space; embedding; Stein-Weiss inequality

Cite this article

ZHANG Shutao， HAN Yazhou* . Study on embedding of a class of weighted Sobolev spaces[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 21 -25 . DOI: 10.15983/j.cnki.jsnu.2023003

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article