Is an Orlicz-Poincaré inequality an open ended condition, and what does that mean?

DOI10.1016/j.jmaa.2014.09.064zbMath1333.46034OpenAlexW2040452572MaRDI QIDQ465412

Noel DeJarnette

Publication date: 31 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.064

zbMATH Keywords

Poincaré inequalityOrlicz functionsmaximal function operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Differentiability and Poincaré-type inequalities in metric measure spaces ⋮ Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space ⋮ Removable sets for Orlicz-Sobolev spaces ⋮ Boundary limits of monotone Sobolev functions on metric spaces ⋮ Boundedness of generalized fractional integral operators on Orlicz spaces near $L^1$ over metric measure spaces

Cites Work

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• Sobolev met Poincaré
• On Some Aspects of the Theory of Orlicz–Sobolev Spaces
• Orlicz-Poincaré inequalities, maximal functions and A_Φ-conditions

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