Isoperimetric inequalities for the logarithmic potential operator

DOI10.1016/j.jmaa.2015.07.041zbMath1330.47063arXiv1503.09124OpenAlexW858215302MaRDI QIDQ891427

Michael Ruzhansky, Durvudkhan Suragan

Publication date: 17 November 2015

Published in: Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.09124

zbMATH Keywords

Heisenberg groupisoperimetric inequalitycharacteristic numberslogarithmic potentialKohn Laplaciansub-LaplacianSchatten classintegral boundary conditionsRayleigh-Faber-Krahn inequalityNewton potentialPólya inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Boundary value problems for PDEs with pseudodifferential operators (35S15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Potential operators (47G40)

Related Items (35)

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