Bilinear rough singular integral operators on Morrey spaces

Recently Grafakos et al., have proved that the bilinear rough singular integral operators are bounded on Lebesgue spaces. Here we aim to show that these operators extend to bounded linear operators on Morrey spaces as well. Although the proof hinges on the boundedness due to Grafakos et al., the proof seems to give a general technique to prove or extend the boundedness of the operators. © 2019, Forum D'Analystes, Chennai.

Authors
Salim D.1 , Sawano Y. 2, 3 , Zanu P.1
Publisher
Springer Science and Business Media B.V.
Number of issue
3
Language
English
Pages
817-825
Status
Published
Volume
28
Year
2020
Organizations
  • 1 Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, 40132, Indonesia
  • 2 Department of Mathematics and Information Science, Tokyo Metropolitan University, Minamioosawa 1-1, Hachouji-city, Tokyo 192-0364, Japan
  • 3 Department of Mathematics Analysis and the Theory of functions, Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
Bilinear operators; Morrey spaces; Rough operators; Singular integral operators
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76374/
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