Reverse Holder inequalities revisited: interpolation, extrapolation, indices and doubling

A Corvalán, M Milman - arXiv preprint arXiv:1907.11327, 2019 - arxiv.org
Extending results in\cite {M} and\cite {MM} we characterize the classical classes of weights
that satisfy reverse H\"{o} lder inequalities in terms of indices of suitable families of $ K …

[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 …