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

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.

References

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