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V. Kokilashvili, S. Samko. Singular integrals in weighted Lebesgue spaces with variable exponent. Georgian Mathematical Journal, 2003, 10(1): 145-156.

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• 标题: 变指数空间上的与自伴算子相联的Littlewood-Paley函数The Littlewood-Paley Function Associated to Self-Adjoint Operators on Variable Exponent Spaces

  作者: 龚汝明, 谢佩珠

  关键字: Littlewood-Paley函数, 自伴算子, 变指数空间Littlewood-Paley Function; Self-Adjoint Operators; Variable Exponent Spaces

  期刊名称: 《Pure Mathematics》, Vol.3 No.1, 2013-01-28

  摘要: 本文研究了与非负自伴且热核满足Gaussian上界的算子相联系的Littlewood-Paley函数在一般的变指数空间上的有界性。In this article, we prove norm inequalities for the Littlewood-Paley function associated to a non- negative self-adjoint operator satisfying a pointwise Gaussian estimate for its heat kernel on generalized spaces with variable exponent.