Helly's selection principle for functions of bounded \(p\)-variation

DOI10.1216/rmjm/1181069753zbMath1092.26003OpenAlexW2144194173MaRDI QIDQ2566516

John E. Porter

Publication date: 26 September 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069753

zbMATH Keywords

bounded variationHölder continuity\(p\)-variationHelly selection principle

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Functions of bounded variation, generalizations (26A45)

Related Items (6)

Impulsive control systems with trajectories of bounded \(p\)-variation ⋮ On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation ⋮ Random walks and Lévy processes as rough paths ⋮ A quantitative version of Helly's selection principle in Banach spaces and its applications ⋮ Locally Lipschitz composition operators in space of the functions of bounded \(\kappa \Phi\)-variation ⋮ Operator ergodic theory for one-parameter decomposable groups

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• On the theory of set-valued maps of bounded variation of one real variable
• On convergence of Fourier series of functions of generalized bounded variation
• Path-wise solutions of stochastic differential equations driven by Lévy processes

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