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Characterization of Heat Kernel Lower Bounds for Symmetric Jump Processes

Yin Huang, Mingjie Liang

Abstract


This paper is devoted to symmetric mixture stable-like processes on metric measure space.Assume that the process enjoys upper bounds of heat kernel,characterization of near diagonal lower bounds of heat kernel is given.Different from previous work which is usually based on regularity of elliptic harmonic functions,here we make full use of smooth properties of functions space associated with the generator of the process.

Keywords


Symmetric jump process;Heat kernel;Lower bound estimate

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References


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DOI: http://dx.doi.org/10.18686/ahe.v7i26.10419

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