Interpolation in variable exponent spaces

In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov...

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Bibliographic Details
Main Author: Almeida, Alexandre (author)
Other Authors: Hästö, Peter (author)
Format: article
Language:eng
Published: 2018
Subjects:
Non-standard growth
variable exponent
Besov space
Triebel–Lizorkin space
complex interpolation
real interpolation
Trace operator
Pseudodifferential operators
Online Access:http://hdl.handle.net/10773/21339
Country:Portugal
Oai:oai:ria.ua.pt:10773/21339
Description
Summary:In this paper we study both real and complex interpolation in the recently introduced scales of variable exponent Besov and Triebel–Lizorkin spaces. We also take advantage of some interpolation results to study a trace property and some pseudodifferential operators acting in the variable index Besov scale.

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