Parametrix construction for certain L\'evy-type processes
classification
🧮 math.PR
keywords
certaindensityprobabilitysometransitionadmittingboundsconstruct
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In this paper we show that a non-local operator of certain type extends to the generator of a strong Markov process, admitting the transition probability density. For this transition probability density we construct the intrinsic upper and lower bounds, and prove some smoothness properties. Some examples are provided.
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