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• W2968000649 abstract "Let $d ge 1$, $p ge d$, and let $Omega$ be a smooth bounded open subset of $mathbb{R}^d$. We prove some exponential integrability in the spirit of Moser-Trudinger's inequalities for measurable functions $u$ defined in $Omega$ such that $$ mathop{int_{Omega} int_{Omega}}_{|u(x) - u(y)| > delta} frac{1}{|x-y|^{d+p}} , dx , dy 0$. This double integral appeared in characterizations of Sobolev spaces and involved in improvements of the Sobolev inequaliies, Poincare inequalities, and Hardy inequalities." @default.
• W2968000649 created "2019-08-22" @default.
• W2968000649 creator A5014115108 @default.
• W2968000649 creator A5078018452 @default.
• W2968000649 date "2019-08-16" @default.
• W2968000649 modified "2023-09-27" @default.
• W2968000649 title "Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy" @default.
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• W2968000649 hasPublicationYear "2019" @default.
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