Triebel-Lizorkin spaces with general weights
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Publication:6369154
DOI10.1007/S43036-022-00230-0zbMath1510.42033arXiv2106.00621MaRDI QIDQ6369154
Publication date: 1 June 2021
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.
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
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