Boundedness of Riemann-Liouville Fractional Integral Operator in Morrey Spaces

Mariam Senouci

doi:10.32523/2077-9879-2021-12-1-82-91

Boundedness of Riemann-Liouville Fractional Integral Operator in Morrey Spaces

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Authors

Mariam Senouci

DOI:

https://doi.org/10.32523/2077-9879-2021-12-1-82-91

Keywords:

Riemann-Liouville operator, Morrey spaces, boundedness

Abstract

The aim of the present paper is to prove the boundedness of the multidimensional Riemann-Liouville operator from the quasi-normed Morrey space Mλp(Ω) to another quasi-normed Morrey space Mµq(Ω) and to estimate the dependence of the norm of this operator on Ω.

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Published

2021-03-30

How to Cite

Senouci, M. (2021). Boundedness of Riemann-Liouville Fractional Integral Operator in Morrey Spaces. Eurasian Mathematical Journal, 12(1), 82–91. https://doi.org/10.32523/2077-9879-2021-12-1-82-91