Cocompact embedding theorem for functions of bounded variation into Lorentz spaces

  • Lin Zhao

    China University of Mining and Technology, Xuzhou City, China
Cocompact embedding theorem for functions of bounded variation into Lorentz spaces cover
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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