Some spectral geometry inequalities for generalized heat potential operators

DOI10.1007/s11785-016-0605-9OpenAlexW2555380869MaRDI QIDQ1682252

Durvudkhan Suragan, Aidyn Kassymov

Publication date: 29 November 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0605-9

zbMATH Keywords

eigenvalueSchatten \(p\)-normHong-Krahn-Szegö inequalityRayleigh-Faber-Krahn inequalityheat 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 (5)

Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems ⋮ On Isoperimetric Inequalities for the Cauchy-Robin Heat Operator ⋮ SOME WEAK GEOMETRIC INEQUALITIES FOR THE RIESZ POTENTIAL ⋮ Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups ⋮ Isoperimetric inequalities for the Cauchy-Dirichlet heat operator

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