Vector‐valued singular integral operators with rough kernels
Copyright policy )Vector‐valued singular integral operators with rough kernels
AbstractIn this paper, we establish a weak‐type (1,1) boundedness criterion for vector‐valued singular integral operators with rough kernels. As applications, we obtain weak‐type (1,1) bounds for the convolution singular integral operator taking value in the Banach space Y with a rough kernel, the maximal operator taking vector value in Y with a rough kernel and several square functions with rough kernels. Here, is a complex interpolation space between a Hilbert space H and a UMD space X.
- Harbin Institute of Technology China (People's Republic of)
rough kernel, singular integral, Spaces of vector- and operator-valued functions, Singular and oscillatory integrals (Calderón-Zygmund, etc.), complex interpolation space, UMD space, Multipliers for harmonic analysis in several variables
rough kernel, singular integral, Spaces of vector- and operator-valued functions, Singular and oscillatory integrals (Calderón-Zygmund, etc.), complex interpolation space, UMD space, Multipliers for harmonic analysis in several variables
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