Singular integrals of non-convolution type on product spaces

2014/09/08 by Zipeng Wang, Wang, Zipeng
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1409.2212

Abstract

We study a new class of pseudo differential operators whose symbols satisfy the differential inequality with a mixture of homogeneities. On the other hand, by taking singular integral realization, it can be equivalently defined by kernels carrying certain characteristic properties on product spaces. We prove that these operators are bounded on L^p-spaces for 1

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