An embedding theorem for Sobolev type functions with gradients in a Lorentz space

DOI10.4064/sm191-1-1zbMath1176.26006OpenAlexW1970363328MaRDI QIDQ5302603

Alireza Ranjbar-Motlagh

Publication date: 8 January 2009

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm191-1-1

zbMATH Keywords

differentiabilityOrlicz spacesLorentz spacesSobolev functionsabsolutely continuous functions

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Inequalities involving derivatives and differential and integral operators (26D10)

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