Year: 2023
Author: Douadi Drihem
Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 18–92
Abstract
We introduce Besov spaces with general smoothness. These spaces unify and generalize the classical Besov spaces. We establish the $\varphi $-transform characterization of these spaces in the sense of Frazier and Jawerth and we prove their Sobolev embeddings. We establish the smooth atomic, molecular and wavelet decomposition of these function spaces. A characterization of these function spaces in terms of the difference relations is given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n1.23.02
Journal of Mathematical Study, Vol. 56 (2023), Iss. 1 : pp. 18–92
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 75
Keywords: Besov space embedding atom molecule wavelet Muckenhoupt class differences.