Improved Poincar\'e inequalities in fractional Sobolev spaces
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poincardomainsfractionalimprovedinequalitiesjohnsobolevalpha
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We obtain improved fractional Poincar\'e and Sobolev Poincar\'e inequalities including powers of the distance to the boundary in John, $s$-John domains and H\"older-$\alpha$ domains, and discuss their optimality.
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