Vector-Valued Inequality of Fractional Integral Operator with Rough Kernel on Morrey-Adams Spaces

Daniel Salim (1) , Yudi Soeharyadi (2) , Wono Setya Budhi (3)
(1) Universitas Katolik Parahyangan,
(2) Institut Teknologi Bandung,
(3) Institut Teknologi Bandung

Abstract

In 2019, Salim et al proved the vector-valued inequality for maximal operator with rough kernel on Lebesgue spaces and Morrey spaces. This results extend Fefferman-Stein inequality (1971). In 1970’s, Adams introduced another variant of Morrey spaces, which called as Morrey-Adams spaces. In this article, we prove vector-valued inequality for maximal operator and fractional integral operator with rough kernel on Morrey–Adams spaces.

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Authors

Daniel Salim
daniel.salim@unpar.ac.id (Primary Contact)
Wono Setya Budhi
Salim, D., Soeharyadi, Y., & Budhi, W. S. (2022). Vector-Valued Inequality of Fractional Integral Operator with Rough Kernel on Morrey-Adams Spaces. Journal of the Indonesian Mathematical Society, 28(2), 164–172. https://doi.org/10.22342/jims.28.2.1057.164-172

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