[PDF][PDF] ON THE DENSITY OF LIPSCHITZ FUNCTIONS IN NEWTONIAN SPACES

M MOCANU - Scientific Studies & Research. Series Mathematics & …, 2023 - pubs.ub.ro
Let E be a rearrangement invariant Banach function space over a metric measure space X,
where the measure of X is doubling and X supports a (1, E)− Poincaré inequality. We …

[PDF][PDF] APPROXIMATE DIFFERENTIABILITY IN NEWTONIAN SPACES BASED ON BANACH FUNCTION SPACES

M MOCANU - pubs.ub.ro
In this note we investigate the approximate differentiability of Newtonian functions on a
doubling metric measure space. The Newtonian space under consideration consists of …

[PDF][PDF] A CHARACTERIZATION OF ORLICZ-POINCARÉ INEQUALITY ON METRIC MEASURE SPACES

M Mocanu - Scientific Studies and Research, 2016 - pubs.ub.ro
In this note we characterize a weak Orlicz-Poincaré inequality through the Hölder continuity
of locally integrable functions possessing upper gradients in the corresponding Orlicz space …