Variable Triebel-Lizorkin-type spaces
Functional Analysis
2016-01-14 v2
Abstract
In this paper we study Triebel-Lizorkin-type spaces with variable smoothness and integrability. We show that our space is well-defined, i.e., independent of the choice of basis functions and we obtain their atomic characterization. Moreover the Sobolev embeddings for these function spaces are obtained.
Cite
@article{arxiv.1508.05980,
title = {Variable Triebel-Lizorkin-type spaces},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:1508.05980},
year = {2016}
}
Comments
32 pages. We reformulate some results and we add some properties. arXiv admin note: substantial text overlap with arXiv:1503.04011