Volume 56, Issue 1
Besov Spaces with General Weights

Douadi Drihem

J. Math. Study, 56 (2023), pp. 18-92.

Published online: 2022-11

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  • 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.

  • AMS Subject Headings

42B25, 42B35, 42C40, 46E35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

douadidr@yahoo.fr (Douadi Drihem)

  • BibTex
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  • TXT
@Article{JMS-56-18, author = {Drihem , Douadi}, title = {Besov Spaces with General Weights}, journal = {Journal of Mathematical Study}, year = {2022}, volume = {56}, number = {1}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n1.23.02}, url = {http://global-sci.org/intro/article_detail/jms/21218.html} }
TY - JOUR T1 - Besov Spaces with General Weights AU - Drihem , Douadi JO - Journal of Mathematical Study VL - 1 SP - 18 EP - 92 PY - 2022 DA - 2022/11 SN - 56 DO - http://doi.org/10.4208/jms.v56n1.23.02 UR - https://global-sci.org/intro/article_detail/jms/21218.html KW - Besov space, embedding, atom, molecule, wavelet, Muckenhoupt class, differences. AB -

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.

Douadi Drihem. (2022). Besov Spaces with General Weights. Journal of Mathematical Study. 56 (1). 18-92. doi:10.4208/jms.v56n1.23.02
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