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
DOI: 10.12677/PM.2013.31008, PDF, HTML, 下载: 3,226  浏览: 8,591  国家自然科学基金支持
作者: 龚汝明*：广州大学数学与信息科学学院；谢佩珠：广州大学数学与交叉科学广东普通高校重点实验室
关键词: Littlewood-Paley函数；自伴算子；变指数空间；Littlewood-Paley Function; Self-Adjoint Operators; Variable Exponent Spaces
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。
Abstract: 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.
文章引用：龚汝明, 谢佩珠. 变指数空间上的与自伴算子相联的Littlewood-Paley函数[J]. 理论数学, 2013, 3(1): 46-50. http://dx.doi.org/10.12677/PM.2013.31008

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