Sobolev embeddings for Herz-type Triebel-Lizorkin spaces
Functional Analysis
2016-06-17 v2
Abstract
In this paper we prove the Sobolev embeddings for Herz-type Triebel-Lizorkin spaces, \begin{equation*} \dot{K}_{q}^{\alpha_{2},r}F_{\theta }^{s_{2}}\hookrightarrow \dot{K}%_{s}^{\alpha_{1},p}F_{\beta }^{s_{1}} \end{equation*} where the parameters and satisfy some suitable conditions. An application we obtain new embeddings between Herz and Triebel-Lizorkin spaces. Moreover, we present the Sobolev embeddings for Triebel-Lizorkin spaces equipped with power weights. All these results cover the results on classical Triebel-Lizorkin spaces.
Cite
@article{arxiv.1502.06417,
title = {Sobolev embeddings for Herz-type Triebel-Lizorkin spaces},
author = {Douadi Drihem},
journal= {arXiv preprint arXiv:1502.06417},
year = {2016}
}
Comments
We reprove Theorem 2 and we add some embeddings between Herz and Triebel-Lizorkin spaces