A CHARACTERIZATION OF ORLICZ-POINCARÉ INEQUALITY ON METRIC MEASURE SPACES
MARCELINA MOCANU Department of Mathematics, Informatics and Education Sciences, Faculty of Sciences, "Vasile Alecsandri" University of Bacău, Calea Mărăşeşti 157, Bacău 600115, ROMANIA,
e-mail: mmocanu@ub.ro
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.
