Triebel-Lizorkin spaces with general weights

Douadi Drihem

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arXiv · 2106.00621

Triebel-Lizorkin spaces with general weights

Douadi Drihem

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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.

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BibTeX RIS

Douadi Drihem. 2021-06-01. Triebel-Lizorkin spaces with general weights. https://arxiv.org/abs/2106.00621

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