<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 |