Lp-independence of spectral bounds of generalized Feynman-Kac semigroups for symmetric Markov processes
Lp-independence of spectral bounds of generalized Feynman-Kac semigroups for symmetric Markov processes
复制标题
对称马尔可夫过程的广义 Feynman-Kac 半群谱界的 Lp 无关性
DOI：
10.1007/s00208-018-1746-0
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
K. Kuwae
中科院分区：
文献类型：
--
作者：
Z.-Q. Chen;D. Kim;K. Kuwae
在对称Markov过程的框架下，在扰动测度较弱的条件下，在不假设函数的不可约性和有界性出现在局部零能量连续可加泛函中的情况下，建立了广义Feynman-Kac半群的谱半径的-独立性.这些结果是利用第一作者发展的可规范性方法以及第三作者证明的Markov过程的不可约分解和第二、第三作者发展的广义Feynman-Kac泛函的可规范性的解析刻画的最新进展得到的。
Under mild conditions on measures used in the perturbation, we establish the-independence of spectral radius for generalized Feynman–Kac semigroups without assuming the irreducibility and the boundedness of the function appeared in the continuous additive functionals locally of zero energy in the framework of symmetric Markov processes. These results are obtained by using the gaugeability approach developed by the first named author as well as the recent progress on the irreducible decomposition for Markov processes proved by the third author and on the analytic characterizations of gaugeability for generalized Feynman–Kac functionals developed by the second and third authors.