Intrinsic compound kernel estimates for the transition probability density of a L\'evy type processes and their applications
Intrinsic compound kernel estimates for the transition probability density of a L\'evy type processes and their applications
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DOI：
10.19195/0208-4147.37.1.3
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发表时间：
2013-08
期刊：
影响因子：
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通讯作者：
V. Knopova;A. Kulik
中科院分区：
文献类型：
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作者：
V. Knopova;A. Kulik
本文构造了一类积分微分方程的基本解，并给出了该解的内在上、下估计。作为构造估计的一个应用，当一个给定的Borel测度属于相应的Kato和Dynkin类时，我们给出了一个准则。
In this paper we construct the fundamental solution to some integro-differential equation, as well as the intrinsic upper and lower estimates for this solution. As an application of constructed estimates we state a criterion when a given Borel measure belongs to the respective Kato and Dynkin classes.