Optimal functional inequalities for fractional operators on the sphere and applications
DOI10.1515/ans-2016-0121zbMath1353.35020arXiv1608.08763OpenAlexW2963592544MaRDI QIDQ329884
Publication date: 24 October 2016
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.08763
spectral gapstereographic projectionHardy-Littlewood-Sobolev inequalityfractional Sobolev inequalityfractional heat flowfractional logarithmic Sobolev inequalityfractional Poincaré inequalitysubcritical interpolation inequalities on the sphere
Critical exponents in context of PDEs (35B33) Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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