Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Daimei Chen, Yanping Chen and Teng Wang
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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

Mathematics, 2021, vol. 9, issue 19, 1-16

Abstract: 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.

Keywords: commutators; Riesz potential; homogeneous group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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