两参数跳过程三点转移函数的可微性(Ⅱ)

The Differentiability of Three Point Transition Function for Two Parameter Jump Processes(Ⅱ)

对两参数跳过程三点转移函数｛Ｐ（ｓ，ｔ；ｘ，ｙ，ｚ，Ａ）｝，讨论了在一般情形下，其在原点的水平可微性，即ｌｉｍｓ→０＋Ｐ（ｓ，ｔ；ｘ，ｙ，ｘ，Ａ）／ｓ的存在性．

Horizontal and vertical differentiabilities of three point transition functions {P(s,t;x,y,z,A):s,t>0,x,y,z∈E,A∈ε} of two parameter jump processes at original point when A is single point set are discussed, and some conditions ensuring that corresponding derivatives of three-point transition functions are bound or finite are given.