## Characterizations for the commutator of parabolic nonsingular integral operator on parabolic generalized Orlicz-Morrey spaces.(English)Zbl 1439.42024

Summary: We show continuity in parabolic generalized Orlicz-Morrey spaces $$M^{\Phi,\varphi}$$ of the 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.

### MSC:

 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B35 Function spaces arising in harmonic analysis
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### References:

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