Boundedness of a Class of Oscillatory Singular Integral Operators and Their Commutators with Rough Kernel on Weighted Central Morrey Spaces

Yongliang Zhou, Dunyan Yan and Mingquan Wei
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Yongliang Zhou: School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Dunyan Yan: School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Mingquan Wei: School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China

Mathematics, 2020, vol. 8, issue 9, 1-16

Abstract: In this paper, we establish the boundedness of a class of oscillatory singular integral operators with rough kernel on central Morrey spaces. Moreover, the boundedness for each of their commutators on weighted central Morrey spaces was also obtained. We generalized some existing results.

Keywords: oscillatory singular integral; commutator; weighted; central Morrey space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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