Isoperimetric inequalities for the heat potential operator

DOI10.2298/FIL1803903KzbMath1484.47081WikidataQ129456906 ScholiaQ129456906MaRDI QIDQ5023466

Aidyn Kassymov, Tynysbek Sh. Kal'menov, Durvudkhan Suragan

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Schatten \(p\)-normRayleigh-Faber-Krahn inequalityHong-Krahn-Szegő inequality\(s\)-numberheat potential operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Potential operators (47G40)

Related Items (1)

SOME WEAK GEOMETRIC INEQUALITIES FOR THE RIESZ POTENTIAL

Cites Work

• Isoperimetric inequalities for Schatten norms of Riesz potentials
• On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries
• On transparent boundary conditions for the high-order heat equation
• Isoperimetric inequalities for the logarithmic potential operator
• A general rearrangement inequality for multiple integrals
• On Schatten norms of convolution-type integral operators
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