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Interpolation of weighted Sobolev spaces

Cwikel, Michael; Einav, Amit

Authors

Michael Cwikel



Abstract

In this work we present a newly developed study of the interpolation of weighted Sobolev spaces by the complex method. We show that in some cases, one can obtain an analogue of the famous Stein–Weiss theorem for weighted Lp spaces. We consider an example which gives some indication that this may not be possible in all cases. Our results apply in cases which cannot be treated by methods in earlier papers about interpolation of weighted Sobolev spaces.

Citation

Cwikel, M., & Einav, A. (2019). Interpolation of weighted Sobolev spaces. Journal of Functional Analysis, 277(7), 2381-2441. https://doi.org/10.1016/j.jfa.2018.11.008

Journal Article Type Article
Acceptance Date Nov 14, 2018
Online Publication Date Nov 20, 2018
Publication Date Aug 6, 2019
Deposit Date Nov 16, 2020
Journal Journal of Functional Analysis
Print ISSN 0022-1236
Electronic ISSN 1096-0783
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 277
Issue 7
Pages 2381-2441
DOI https://doi.org/10.1016/j.jfa.2018.11.008
Public URL https://durham-repository.worktribe.com/output/1285790