Vector-valued singular integral operators with rough kernels |
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Authors: | Xudong Lai |
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Institution: | Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, China |
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Abstract: | In 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. |
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Keywords: | complex interpolation space singular integral rough kernel UMD space |
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