Variable exponent function spaces related to a sublinear expectation

DOI10.1155/2020/1734174zbMath1462.60067OpenAlexW3111982729WikidataQ126379100 ScholiaQ126379100MaRDI QIDQ2303078

Bochi Xu

Publication date: 2 March 2020

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5912803

zbMATH Keywords

variable exponent function spacesKolmogorov's criterion

Mathematics Subject Classification ID

Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)

Cites Work

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• Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths
• Lebesgue spaces with variable exponent on a probability space
• Overview of differential equations with non-standard growth
• Weak solution for obstacle problem with variable growth
• Nonlinear expectations and nonlinear Markov chains
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• Coherent Measures of Risk
• Maximal function on generalized Lebesgue spaces L^p(⋅)

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