Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces

Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces

In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear operators including many interesting in harmonic analysis and i...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2020-03, Vol.11 (1), p.201-228
Hauptverfasser: Minh Chuong, Nguyen, Van Duong, Dao, Huu Dung, Kieu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Commutators
Fourier analysis
Functional Analysis
Harmonic analysis
Integrals
Mathematics
Mathematics and Statistics
Operator Theory
Operators (mathematics)
Partial Differential Equations
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Beschreibung
Zusammenfassung:In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear operators including many interesting in harmonic analysis and its commutators on the weighted Morrey spaces. Finally, as an application, the boundedness of strongly singular integral operators and commutators with symbols in BMO space are also given.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-019-00277-3