Weighted estimates for the area integral associated with self-adjoint operators on homogeneous space

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• 作者：Ruming Gong ; ^{gongruming@163.com} ; Peizhu Xie ^{xiepeizhu82@163.com}
• 关键词：Weighted norm inequalities ; Area integral ; Self-adjoint operators ; Heat kernel ; Semigroup ; Homogeneous space
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2012
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：15 September, 2012
• 卷：393
• 期：2
• 页码：590-604
• 文件大小：293 K

摘要

Let be a metric space with doubling measure, and be a non-negative self-adjoint operator such that the corresponding heat kernels satisfy Gaussian bounds. This article is concerned with some weighted norm inequalities for area integrals associated with . As an application, we obtain sharp estimates for the operator norm of the area integrals on as becomes large.