摘要
In this paper, we first prove Schilder＇s theorem in H？lder norm （0 ≤ α 〈1） with respect to Cr,p-capacity. Then, based on this result, we further prove a sharpening of large deviation principle for increments of fractional Brownian motion for Cr,p-capacity in the stronger topology.
In this paper, we first prove Schilder＇s theorem in H？lder norm （0 ≤ α 〈1） with respect to Cr,p-capacity. Then, based on this result, we further prove a sharpening of large deviation principle for increments of fractional Brownian motion for Cr,p-capacity in the stronger topology.
基金
Supported by NSFC(Grant Nos.11271013,61273074,61201065,61203219,11471104)
the Fundamental Research Funds for the Central Universities,HUST(Grant Nos.2012QN028 and 2014TS066)
IRTSTHN(Grant No.14IRSTHN023)
Ph D research startup foundation of He’nan Normal University(Grant No.5101019170120)
Youth Science Foundation of He’nan Normal University(Grant No.5101019279032)
