The Nemytskii operator on bounded \(\phi\)-variation in the mean spaces

DOI10.4067/S0716-09172013000200003zbMATH Open1282.26014OpenAlexW1995136338MaRDI QIDQ2869850

N. Merentes, René Erlín Castillo, Eduard Trousselot

Publication date: 7 January 2014

Published in: Proyecciones (Search for Journal in Brave)

Full work available at URL: http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000200003&lng=en&nrm=iso&tlng=en

zbMATH Keywords

Nemytskii operatorbounded \(\Phi\)-variation\((p,\lambda)\)-variationmean space

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)

Related Items (3)

Convergence in variation for a homothetic modulus of smoothness in multidimensional setting ⋮ The Nemytskii operator in bounded \((p,\alpha)\)-variation space ⋮ The Nemytskiĭ operator and vector measure solutions for non-linear initial value problems

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