Traces and extensions of generalized smoothness Morrey spaces on domains (Preprint)

  <Reference List>
Type: Preprint
National /International: International
Title: Traces and extensions of generalized smoothness Morrey spaces on domains
Publication Date: 2018-04-20
Authors: - Susana Domingues de Moura
- Júlio Severino das Neves
- Cornelia Schneider
Abstract: We study traces on the boundary of generalized smoothness Morrey spaces on Ck domains Ω. These spaces are equipped with three parameters s,p,q and a function parameter ϕ. Our results remain valid for the usual Besov-Morrey spaces Nsu,p,q(Ω), Triebel-Lizorkin-Morrey spaces Esu,p,q(Ω), and Triebel-Lizorkin type spaces Fs,τp,q(Ω), which are all included in our scales as special cases. Moreover, to complete our investigation, we also study traces of Besov-type spaces Bs,τp,q(Ω), which are not covered by our approach and give some applications in terms of a priori estimates generalizing results from [Bar05].
Institution: DMUC 18-15
Online version: http://www.mat.uc.pt...prints/eng_2018.html
Download: Not available
 
© Centre for Mathematics, University of Coimbra, funded by
Science and Technology Foundation
Powered by: rdOnWeb v1.4 | technical support