The author studies the h-transforms of symmetric Markov processes and corresponding Dirichlet spaces, and also discusses the drift transformation of Fukushima and Takeda’s type[2] and improves their result by a diffe...The author studies the h-transforms of symmetric Markov processes and corresponding Dirichlet spaces, and also discusses the drift transformation of Fukushima and Takeda’s type[2] and improves their result by a different approach.展开更多
n this paper we introduce homogeneous multiplicative functionals of Levy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by suly-Lvy processes throug...n this paper we introduce homogeneous multiplicative functionals of Levy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by suly-Lvy processes through the killing transformation.展开更多
LET X=（X<sub>t</sub>,P<sup>x</sup>） be a right Markov process with state space （E,ε）, semigroup （P<sub>1</sub>） andresolvent （U<sup>q</sup>）. As in ref.[1, 2], ...LET X=（X<sub>t</sub>,P<sup>x</sup>） be a right Markov process with state space （E,ε）, semigroup （P<sub>1</sub>） andresolvent （U<sup>q</sup>）. As in ref.[1, 2], we denote by Exc<sup>q</sup>（X ）, Dis<sup>q</sup>（X） and Con<sup>q</sup>（X） thecones of excessive, dissipative, conservative measures of X, respectively, and by S<sup>q</sup>（X） thecone of excessive functions of X. By convention we drop the superscript q when it is zero. LetMF be the set of all exact multiplicative functional of X. For any given M∈MF, writeE<sub>M</sub>:= {x∈E:P<sup>M<sub>0</sub> = 1</sup> = 1} and S<sub>M</sub>: = inf} t】0: M<sub>1</sub>= 0 } for the set of展开更多
The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are di...The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are discussed. A few switching identities and formulae conerning dual additive functionals and Revuz measures are given.展开更多
文摘The author studies the h-transforms of symmetric Markov processes and corresponding Dirichlet spaces, and also discusses the drift transformation of Fukushima and Takeda’s type[2] and improves their result by a different approach.
文摘n this paper we introduce homogeneous multiplicative functionals of Levy processes and investigate their bivariate Revuz measures. We also prove that the sector condition will be inherited by suly-Lvy processes through the killing transformation.
文摘LET X=（X<sub>t</sub>,P<sup>x</sup>） be a right Markov process with state space （E,ε）, semigroup （P<sub>1</sub>） andresolvent （U<sup>q</sup>）. As in ref.[1, 2], we denote by Exc<sup>q</sup>（X ）, Dis<sup>q</sup>（X） and Con<sup>q</sup>（X） thecones of excessive, dissipative, conservative measures of X, respectively, and by S<sup>q</sup>（X） thecone of excessive functions of X. By convention we drop the superscript q when it is zero. LetMF be the set of all exact multiplicative functional of X. For any given M∈MF, writeE<sub>M</sub>:= {x∈E:P<sup>M<sub>0</sub> = 1</sup> = 1} and S<sub>M</sub>: = inf} t】0: M<sub>1</sub>= 0 } for the set of
基金Project supported in part by the National Natural Science Foundation of China (No.19501035).
文摘The perturbation of semigroup by a multiplicative functional with bounded variation is investigated in the frame of weak duality. The strong continuity and Schrodinger type equation of the perturbated semigroup are discussed. A few switching identities and formulae conerning dual additive functionals and Revuz measures are given.
