## Commutators generated by singular integral operators with variable kernels and local Campanato functions on generalized local Morrey spaces.(English)Zbl 1341.42030

Summary: In this paper, we obtain the boundedness for the singular integral operator with rough variable kernel $$T_\Omega$$ on the generalized local Morrey spaces, as well as the boundedness for the multilinear commutators generated by $$T_\Omega$$ and local Campanato functions.

### MSC:

 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B25 Maximal functions, Littlewood-Paley theory 42B35 Function spaces arising in harmonic analysis
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