两参数跳过程三点转移函数的可微性(I)

The Differentiabilities of Three-Point Transition Function for Two-Parameter Jump Procsses (I)

讨论了当Ａ为单点集时两参数跳过程三点转移函数｛Ｐ（ｓ，ｔ；ｘ，ｙ，ｚ，Ａ｝，ｓ，ｔ＞０，ｘ，ｙ，ｚ∈Ｅ，Ａ∈ε｝，在原点的水平和竖直可微性，给出了相应的导数有界的充要条件和有限的必要条件．

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.