Abstract
We give short simple proofs of Uspenskiĭ’s results characterizing Besov spaces as trace spaces of weighted Sobolev spaces. We generalize Uspenskiĭ’s results and prove the optimality of these generalizations. We next show how classical results on the functional calculus in the Besov spaces can be obtained as straightforward consequences of the theory of weighted Sobolev spaces.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Nonlinear Analysis: Theory, Methods & Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.