April 2023 WEIGHTED ESTIMATES FOR GENERALIZED RIESZ POTENTIALS
Pablo Rocha
Rocky Mountain J. Math. 53(2): 549-559 (April 2023). DOI: 10.1216/rmj.2023.53.549

Abstract

For 0α<n, 0<p1 and 1q=1pαn, we obtain the boundedness from Hwp(n) into Lwqpq(n) of certain generalized Riesz potentials for certain weights w. This result is achieved via the infinite atomic decomposition we previously developed (Rev. Un. Mat. Argentina 61:2 (2020), 229–247).

Citation

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Pablo Rocha. "WEIGHTED ESTIMATES FOR GENERALIZED RIESZ POTENTIALS." Rocky Mountain J. Math. 53 (2) 549 - 559, April 2023. https://doi.org/10.1216/rmj.2023.53.549

Information

Received: 6 November 2021; Revised: 26 June 2022; Accepted: 27 June 2022; Published: April 2023
First available in Project Euclid: 20 June 2023

MathSciNet: MR4604773
zbMATH: 07725154
Digital Object Identifier: 10.1216/rmj.2023.53.549

Subjects:
Primary: 42B25 , 42B30

Keywords: atomic decomposition , fractional operators , ‎weighted Hardy spaces

Rights: Copyright © 2023 Rocky Mountain Mathematics Consortium

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Vol.53 • No. 2 • April 2023
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