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Rough Hausdorff operator and its commutators on the Heisenberg group

Authors :
Nguyen Minh Chuong
Kieu Huu Dung
Dao Van Duong
Source :
Advances in Operator Theory. 6
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

In this paper, we discuss some sufficient conditions for the boundedness of rough Hausdorff operators on the central Morrey and Herz spaces with the Muckenhoupt weights on the Heisenberg group. The boundedness for the commutators of rough Hausdorff operators with symbols in weighted CMO space on such spaces is given as well.

Subjects

Subjects :
Mathematics::Functional Analysis
Pure mathematics
Algebra and Number Theory
Operator (computer programming)
Mathematics::Classical Analysis and ODEs
Hausdorff space
Heisenberg group
Mathematics::General Topology
Muckenhoupt weights
Operator theory
Space (mathematics)
Analysis
Mathematics

Details

ISSN :
2538225X and 26622009
Volume :
6
Database :
OpenAIRE
Journal :
Advances in Operator Theory
Accession number :
edsair.doi...........9768805a88cb4f589ec477ff506a93bc

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