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- W4310001132 abstract "We introduce the notion of linear multifractional stable sheets in the broad sense (LMSS) with $alphain(0,2]$, to include both linear multifractional Brownian sheets ($alpha=2$) and linear multifractional stable sheets ($alpha<2$). The purpose of the present paper is to study the existence and joint continuity of the local times of LMSS, and also the local Holder condition of the local times in the set variable. Among the main results of this paper, Theorem 2.4 provides a sufficient and necessary condition for the existence of local times of LMSS; Theorem 3.1 shows a sufficient condition for the joint continuity of local times; and Theorem 4.1 proves a sharp local Holder condition for the local times in the set variable. All these theorems improve significantly the existing results for the local times of multifractional Brownian sheets and linear multifractional stable sheets in the literature." @default.
- W4310001132 created "2022-11-30" @default.
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- W4310001132 date "2021-06-24" @default.
- W4310001132 modified "2023-10-16" @default.
- W4310001132 title "Linear Multifractional Stable Sheets in the Broad Sense: Existence and Joint Continuity of Local Times" @default.
- W4310001132 doi "https://doi.org/10.48550/arxiv.2106.13331" @default.
- W4310001132 hasPublicationYear "2021" @default.
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