ZHANG Shutao， HAN Yazhou*
(Department of Science, China Jiliang University, Hangzhou 310018, Zhejiang, China)
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.
KeyWords:
weighted Sobolev space; embedding; Stein-Weiss inequality
