<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Characterization of embeddings of Sobolev-type spaces into generalized Hölder spaces defined by Lp-modulus of smoothness |
Publication Date: | 2018-04-20 |
Authors: |
- Amiran Gogatishvili
- Júlio Severino das Neves - Bohumír Opic |
Abstract: | We prove a sharp estimate for the k-modulus of smoothness, modelled upon a p-Lebesgue space, of a function f in WkL pn/(n+kp),p(Ω) + Wk Lp(Ω), where Ω is a domain with minimally smooth boundary and finite Lebesgue measure. This sharp estimate is used to establish necessary and sufficient conditions for continuous embeddings of Sobolev-type spaces into generalized Hölder spaces defined by means of the k-modulus of smoothness. General results are illustrated with examples. In particular, we obtain a generalization of the classical Jawerth embeddings. |
Institution: | DMUC 18-14 |
Online version: | http://www.mat.uc.pt...prints/eng_2018.html |
Download: | Not available |