Quasi-monotonicity, subadditive bijections of \({\mathbb{R}}_ +\), and characterization of \(L^ p\)-norm

DOI10.1016/0022-247X(91)90053-3zbMath0725.39007OpenAlexW2038958782MaRDI QIDQ2276699

Tadeusz Swiątkowski, Janusz Matkowski

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90053-3

zbMATH Keywords

\(L^ p\)-normquasi-monotonic functionssubadditive bijection

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Monotonic functions, generalizations (26A48) Systems of functional equations and inequalities (39B72)

Related Items (9)

Subadditive functions and their (pseudo-)inverses ⋮ The converse theorem for Minkowski's inequality. ⋮ Conjugate functions, L^p-norm like functionals, the generalized Hölder inequality, Minkowski inequality and subhomogeneity ⋮ Characterisation of \(L_p\)-norms via Hölder's inequality ⋮ Pointwise monotonic functions and generalized subadditivity ⋮ On Subadditive Functions ⋮ On functions determined by limit sets and the quasi-Świątkowski property ⋮ Converse theorem for the Minkowski inequality ⋮ Subadditive Functions and a Relaxation of the Homogeneity Condition of Seminorms

Cites Work

• Unnamed Item
• Unnamed Item
• On a characterization of $L^p$-norm
• Subadditive functions

This page was built for publication: Quasi-monotonicity, subadditive bijections of \({\mathbb{R}}_ +\), and characterization of \(L^ p\)-norm