Abstract
We show continuity in parabolic generalized Orlicz-Morrey spaces $M^{\Phi,\varphi}$ of commutator of parabolic nonsingular integral operators. We shall give necessary and sufficient conditions for the boundedness of the commutator of parabolic nonsingular integral operator on $M^{\Phi,\varphi}$ spaces with $BMO$ functions.
Funding Statement
The research of M. Omarova was partially supported by the Grant of 1st Azerbaijan-Russia Joint Grant Competition (Agreement Number No. EIF-BGM-4-RFTF-1/2017-21/01/1).
Acknowledgment
We thank the referee(s) for careful reading the paper and useful comments.
Citation
M. N. Omarova. "Characterizations for the commutator of parabolic nonsingular integral operator on parabolic generalized Orlicz-Morrey spaces." Tbilisi Math. J. 13 (1) 97 - 111, January 2020. https://doi.org/10.32513/tbilisi/1585015223
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