Cocompact embedding theorem for functions of bounded variation into Lorentz spaces
Lin Zhao
China University of Mining and Technology, Xuzhou City, China
Abstract
We show that the embedding , is cocompact with respect to the group and the profile decomposition for . This paper extends the cocompactness and profile decomposition for the critical space to Lorentz spaces , . A counterexample for not cocompact is given in the last section.
Cite this article
Lin Zhao, Cocompact embedding theorem for functions of bounded variation into Lorentz spaces. Z. Anal. Anwend. 42 (2023), no. 1/2, pp. 145–155
DOI 10.4171/ZAA/1728