Issue:

SSRSMI, Number 2, Volume XXVI

Section:

Volume 26, Number 2

Abstract:

In this note we characterize a weak Orlicz-Poincaré inequality through the Hölder conti-nuity of locally integrable functions possessing upper gradients in the corresponding Or-licz space, under some growth assumptions on the Young function. Our results are proved in the setting of doubling metric measure spaces.

Keywords:

Ahlfors regular metric measure space, Poincaré inequality, Orlicz-Sobolev space, Hölder continuity, quasiconvex curve, modulus of a family of curves.

Code [ID]:

SSRSMI201602V26S01A0005 [0004498]

DOI:

Full paper:

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