张龙腾, 陈瑾. 时间变换下具有有限二阶矩跳跃核的非局部狄氏型的紧性[J]. 应用概率统计, 2022, 38(4): 563-580. DOI: 10.3969/j.issn.1001-4268.2022.04.006
引用本文: 张龙腾, 陈瑾. 时间变换下具有有限二阶矩跳跃核的非局部狄氏型的紧性[J]. 应用概率统计, 2022, 38(4): 563-580. DOI: 10.3969/j.issn.1001-4268.2022.04.006
ZHANG Longteng, CHEN Jin. Compactness for Time-Change of Non-local Dirichlet Forms with Finite Second Moment Jumping Kernels[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(4): 563-580. DOI: 10.3969/j.issn.1001-4268.2022.04.006
Citation: ZHANG Longteng, CHEN Jin. Compactness for Time-Change of Non-local Dirichlet Forms with Finite Second Moment Jumping Kernels[J]. Chinese Journal of Applied Probability and Statistics, 2022, 38(4): 563-580. DOI: 10.3969/j.issn.1001-4268.2022.04.006

时间变换下具有有限二阶矩跳跃核的非局部狄氏型的紧性

Compactness for Time-Change of Non-local Dirichlet Forms with Finite Second Moment Jumping Kernels

  • 摘要: 本文给出了时间变换下,具有有限二阶矩跳跃核的非局部狄氏型对应马氏半群紧性的充分必要判别条件.

     

    Abstract: In this paper, we present explicit sufficient and necessary conditions for the compactness of the semigroups associated with time change of non-local Dirichlet forms, whose jumping kernels have finite second moment.

     

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