Locally defined operators in Hölder's spaces

DOI10.1016/J.NA.2010.08.046zbMath1266.47083OpenAlexW1997210361MaRDI QIDQ603043

Małgorzata Wróbel

Publication date: 5 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.046

zbMATH Keywords

affine mappingHölder spacebounded operatoruniformly continuous operatorlocal (locally defined) operatorNemytskij (superposition) operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral operators (47G10)

Related Items (6)

UNIFORMLY BOUNDED COMPOSITION OPERATORS ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Uniformly bounded composition operators in the Banach space of absolutely continuous functions ⋮ Locally defined operators in the space of functions of bounded \(\varphi \)-variation ⋮ Uniformly continuous superposition operators in the space of functions of bounded \(n\)-dimensional \(\Phi\)-variation ⋮ Locally defined operators in the space of functions of bounded Riesz-variation

Cites Work

• Locally defined operators and a partial solution of a conjecture
• Uniformly continuous superposition operators in the Banach space of Hölder functions
• Representation theorem for local operators in the space of continuous and monotone functions
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Locally defined operators in Hölder's spaces