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arXiv · 1811.09264

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

Nguyen Minh Chuong·Dao Van Duong·Kieu Huu Dung
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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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Nguyen Minh Chuong, Dao Van Duong, Kieu Huu Dung. 2018-11-22. Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces. https://arxiv.org/abs/1811.09264

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