Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Daimei Chen; Yanping Chen; Teng Wang

doi:10.3390/math9192421

Mathematics (Sep 2021)

Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Daimei Chen,
Yanping Chen,
Teng Wang

Affiliations

Daimei Chen: Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Yanping Chen: Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China
Teng Wang: Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

DOI: https://doi.org/10.3390/math9192421
Journal volume & issue: Vol. 9, no. 19
p. 2421

Abstract

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In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous group.

Published in Mathematics

ISSN: 2227-7390 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/mathematics

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