Acta mathematica scientia, Series B >
ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES
Received date: 2004-04-08
Revised date: 1900-01-01
Online published: 2006-04-20
Suppose X is a super-α-stable process in Rd, (0<α<2), whose branching rate function is dt, and branching mechanism is of the form ψ(z)=z1+β
(0<β≤1). Let Xτ and Yτ denote the exit measure and the total weighted occupation time measure of X in a bounded smooth domain D, respectively. The absolute continuities of Xτ and Yτ are discussed.
Zhang Jing , Ren Yanxia . ABSOLUTE CONTINUITIES OF EXIT MEASURES AND TOTAL WEIGHTED OCCUPATION TIME MEASURES FOR SUPER-α-STABLE PROCESSES[J]. Acta mathematica scientia, Series B, 2006 , 26(2) : 358 -370 . DOI: 10.1016/S0252-9602(06)60058-1
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