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

ZHANG Longteng; CHEN Jin

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

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

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

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

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