Triebel-Lizorkin spaces with general weights

Douadi Drihem

Triebel-Lizorkin spaces with general weights

Functional Analysis 2022-10-25 v2

Authors: Douadi Drihem

Abstract

In this paper, the author introduce Triebel-Lizorkin spaces with general smoothness. We present the $\varphi$ -transform characterization of these spaces in the sense of Frazier and Jawerth and we prove their Sobolev embeddings. Also, we establish the smooth atomic and molecular decomposition of these function spaces. To do these we need a generalization of some maximal inequality to the case of general weights.

Keywords

function spaces sobolev spaces topological spaces

Cite

@article{arxiv.2106.00621,
  title  = {Triebel-Lizorkin spaces with general weights},
  author = {Douadi Drihem},
  journal= {arXiv preprint arXiv:2106.00621},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2009.12223. We add Section 4

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