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Ф-variation and p-variation; Inequalities for Integrals

  • R. M. Dudley
  • R. Norvaiša
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Let V be the class of all functions Φ: [0,∞) ? [0,∞) which are strictly increasing, continuous, unbounded, and 0 at 0. Let CV be the subclass of convex functions in V. Let X be a Banach space with norm \( \|\cdot\|\), let J be a nonempty interval in R, let f be a function defined on J with values in X, and let Φ ∈ V. Recall that an interval is called nondegenerate if it contains more than one point.

Keywords

Banach Space Point Function Interval Function Concave Function Orlicz Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Institute of Mathematics and InformaticsVilniusLithuania

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