Singular integral operators on product domains along twisted surfaces

Abstract

We introduce a class of singular integral operators on product domains along twisted surfaces. We prove that the operators are bounded on L^p provided that the kernels satisfy weak conditions.

Keywords

Singular integral operators on product domains / rough kernels / L^p estimates / Hardy Littlewood maximal function / truncated maximal singular integrals / twisted surfaces / block spaces

References

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RIGHTS & PERMISSIONS

Higher Education Press