Year: 2019
Author: Douadi Drihem
Journal of Mathematical Study, Vol. 52 (2019), Iss. 2 : pp. 178–226
Abstract
We introduce Besov spaces with variable smoothness and integrability by using the continuous version of Calderón reproducing formula. We show that our space is well-defined, i.e., independent of the choice of basis functions. We characterize these function spaces by so-called Peetre maximal functions and we obtain the Sobolev embeddings for these function spaces. We use these results to prove the atomic decomposition for these spaces.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n2.19.05
Journal of Mathematical Study, Vol. 52 (2019), Iss. 2 : pp. 178–226
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 49
Keywords: Atom embeddings Besov space variable exponent.