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Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
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V. V. Chistyakov
Published/Copyright:
June 7, 2010
Abstract
We present some properties of real valued functions of bounded generalized variation of Riesz–Orlicz type including weight and characterize Lipschitzian superposition Nemytskii operators which map between spaces (in fact, Banach algebras) of these functions.
Received: 1999-08-27
Revised: 2000-04-03
Published Online: 2010-06-07
Published in Print: 2000-December
© Heldermann Verlag
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Articles in the same Issue
- Category Analogue of Sup-Measurability Problem
- Lipschitzian Superposition Operators Between Spaces of Functions of Bounded Generalized Variation with Weight
- The Existence of Moments of Solutions to Transport Equations with Inelastic Scattering and their Application in the Asymptotic Analysis
- Graph Convergence of Set-Valued Maps and its Relationship to Other Convergences
- Local Existence of Solutions of a Free Boundary Problem for Equations of Compressible Viscous Heat-Conducting Capillary Fluids
- Quotients of Quasi-Continuous Functions
- Integrals of Legendre Polynomials and Solution of Some Partial Differential Equations
- Existence Theorems for Maximal Elements in H-Spaces with Applications on the Minimax Inequalities and Equilibrium of Games
- On Continuity of Measurable Cocycles
