Locally defined operators in the space of functions of bounded \(\varphi \)-variation

DOI10.14321/realanalexch.38.1.0079zbMath1275.47116OpenAlexW1582312294MaRDI QIDQ1952416

Małgorzata Wróbel

Publication date: 30 May 2013

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1367265641

zbMATH Keywords

continuous functionlocal operatorfunction of bounded \(\varphi\)-variationNemytskij (superposition/composition) operator

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (2)

The form of locally defined operators in Waterman spaces ⋮ Locally defined operators in the space of functions of bounded Riesz-variation

Cites Work

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• Locally defined operators in Hölder's spaces
• Representation theorem for locally defined operators in the space of Whitney differentiable functions
• Uniformly continuous composition operators in the space of bounded \(\varphi \)-variation functions
• Locally defined operators and a partial solution of a conjecture
• On some propertis of functions of generalized variation
• Mappings of generalized variation and composition operators
• Representation theorem for local operators in the space of continuous and monotone functions

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