Xiangxing Tao, Xiao Yu, Songyan Zhang, "Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces", Journal of Function Spaces, vol. 8, Article ID 271905, 16 pages, 2010. https://doi.org/10.1155/2010/271905
Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces
In this article, we consider the Marcinkiewicz integrals with variable kernels defined by , where for q > 1. We prove that the operator is bounded from Hardy space, , to space; and is bounded from weak Hardy space, , to weak space for , if satisfies the -Dini condition with any .
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