H\"older Estimates for Resolvents of Time-Changed Brownian Motions

H\"older Estimates for Resolvents of Time-Changed Brownian Motions
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时变布朗运动求解器的 H"older 估计

DOI：
10.1007/978-981-19-4672-1_19
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发表时间：
2022
期刊：
Springer Proc. Math. Stat.
影响因子：
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通讯作者：
Matsuura Kouhei
Matsuura Kouhei
中科院分区：
--
文献类型：
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作者：
Masayoshi Takeda;Matsuura Kouhei

文献摘要

相似文献

本文利用正连续可加泛函研究布朗运动的时变。在相应的Revuz测度满足一定的正则性条件下，证明了时变布朗运动的预解式在空间分量上是局部Hölder连续的.我们还得到了Hölder连续指数的下界。
In this paper, we study time changes of Brownian motions by positive continuous additive functionals. Under a certain regularity condition on the associated Revuz measures, we prove that the resolvents of the time-changed Brownian motions are locally Hölder continuous in the spatial components. We also obtain lower bounds for the indices of the Hölder continuity.