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

2018/11/22 by Chuong, Nguyen Minh, Van Duong, Dao, Dung, Kieu Huu
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1811.09264

Abstract

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.

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