The Meyers Inequality for Symmetric Jump Processes in Metric Measure Spaces

来源 :上海交通大学 | 被引量 : 0次 | 上传用户：kakingka

【摘要】

：

【作者】

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Huaiqian Li Jian Wang

【机构】

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Sichuan University,610065,P.R.China Fujian Normal

【出处】

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上海交通大学

【发表日期】

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2016年4期

【关键词】

：

Dirichlet form integral operator metric measure space

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　　The Lp regularity with some p > 2 for the solution to the Poisson type equation with respect to non-local operators,including the generator of = symmetric jump processes,is established in the metric measure space,which is achieved by generalizing the Meyers inequality on elliptic operators in the Euclidean space.As an application,the strong stability for the semigroup corresponding to the non-local operator,as well as the heat kernel,is proved.

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The Meyers Inequality for Symmetric Jump Processes in Metric Measure Spaces

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