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RESEARCH PRODUCT

Sharp generalized Trudinger inequalities via truncation

Stanislav Hencl

subject

Mathematics::Functional AnalysisLorentz spaceTruncationApplied MathematicsMathematical analysisDouble exponential functionMathematics::Classical Analysis and ODEsSobolev inequalitiesOrlicz spacesAnalysisExponential functionSobolev inequalityMathematics

description

Abstract We prove that the generalized Trudinger inequalities into exponential and double exponential Orlicz spaces improve to inequalities on Orlicz–Lorentz spaces provided they are stable under truncation.

10.1016/j.jmaa.2005.07.041http://dx.doi.org/10.1016/j.jmaa.2005.07.041