Year: 2021
Author: Chenglong Fang, Jiang Zhou
Journal of Mathematical Study, Vol. 54 (2021), Iss. 3 : pp. 227–249
Abstract
In this paper, 2-microlocal Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced for the first time. Then, we give characterizations of these spaces by so-called Peetre's maximal functions. Further, the atomic and molecular decompositions of these spaces are obtained. Finally, using the characterizations of the spaces by local means and molecular decomposition we obtain the wavelet characterizations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n3.21.01
Journal of Mathematical Study, Vol. 54 (2021), Iss. 3 : pp. 227–249
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: 2-microlocal variable exponent Herz type spaces Besov spaces Triebel-Lizorkin spaces Peetre's maximal operator.