On the boundedness of $B$-Riesz potential and its commutators on generalized weighted $B$-Morrey spaces

Year 2024, Volume: 53 Issue: 2, 321 - 332, 23.04.2024

İsmail Ekincioğlu Javanshir J. Hasanov Cansu Keskin

https://doi.org/10.15672/hujms.1221556

Abstract

In the present paper, we shall investigate a characterization for the boundedness of the $B$-Riesz potential and its commutators on the generalized weighted $B$-Morrey spaces. We also give a characterization for the generalized weighted $B$-Morrey spaces via the boundedness of the Riesz potential and its commutators generated by generalized translate operators associated with Laplace-Bessel differential operator.

Keywords

generalized translate operator, $B$-maximal operator, $B$-Riesz potential operator, commutators, generalized weighted $B$-Morrey space

Supporting Institution

TUBITAK

Project Number

119N455

Thanks

The authors would like to express their gratitude to the referees for his/her very valuable comments and suggestions.

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