Refinements of self-improving methods for local mean oscillation bounds under discrete geometric summability conditions yield sharper Poincaré-Sobolev inequalities than prior work in general metric spaces.
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From generalized Poincar\'e to Poincar\'e-Sobolev inequalities via self-improving methods
Refinements of self-improving methods for local mean oscillation bounds under discrete geometric summability conditions yield sharper Poincaré-Sobolev inequalities than prior work in general metric spaces.