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arxiv: 1510.00038 · v5 · pith:YD7JBR5Tnew · submitted 2015-09-30 · 🧮 math.FA

A note on self improvement of Poincar\'e-Sobolev inequalities via Garsia-Rodemich spaces

classification 🧮 math.FA
keywords inequalitiese-sobolevgarsia-rodemichpoincarselfcharacterizationconditionscontext
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We use the characterization of weak type inequalities via Garsia-Rodemich conditions to show self improving properties of Poincar\'e-Sobolev inequalities in a very general context.

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