Local times of linear multifractional stable sheets  

作　　者：SHEN Guang-jun YU Qian LI Yun-meng 

机构地区：[1]School of Mathematics and Finance,Chuzhou University,Chuzhou 239000,China [2]Department of Mathematics,Anhui Normal University,Wuhu 241000,China [3]School of Statistics,East China Normal University,Shanghai 200062,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2020年第1期1-15,共15页高校应用数学学报（英文版）（B辑）

摘　　要：Let X^H(u)(u)={X^H(u)(u);u∈R^N+}be linear multifractional stable sheets with index functional H(u),where H(u)=(H1(u),…,HN(u))is a function with values in(0;1)N.Based on some assumptions of H(u),we obtain the existence of the local times of X^H(u)(u)and establish its joint continuity and the Holder regularity.These results generalize the corresponding results about fractional stable sheets to multifractional stable sheets.

关 键 词：multifractional stable sheets local nondeterminism local times joint continuity 

分 类 号：O211.6[理学—概率论与数理统计]