On generalized Hardy spaces associated with singular partial differential operators

Amal Ghandouri; Hatem Mejjaoli; Slim Omri

doi:10.56754/0719-0646.2502.289

DOI:

https://doi.org/10.56754/0719-0646.2502.289

Abstract

We define and study the Hardy spaces associated with singular partial differential operators. Also, a characterization by mean of atomic decomposition is investigated.

Keywords

Riemann-Liouville operator , Hardy spaces , Poisson maximal function , atomic decomposition

Mathematics Subject Classification:

42B10 , 43A32

Amal Ghandouri Department of mathematics, Faculty of science of Tunis, Campus El Manar, 2092, Tunis, Tunisia. https://orcid.org/0009-0006-1460-0041
Hatem Mejjaoli Department of mathematics, Taibah university, Saudi Arabia. https://orcid.org/0000-0001-8387-0033
Slim Omri Department of mathematics, Faculty of science of Tunis, Campus El Manar, 2092, Tunis, Tunisia. https://orcid.org/0000-0002-3239-2518

Pages: 289–320
Date Published: 2023-08-28
Vol. 25 No. 2 (2023)

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