On \(\ell_ p\)-summability of the characteristic values of integral operators on \(L_ 2({\mathbb{R}}^ N)\).

DOI10.1007/BF01196122zbMath0637.47014MaRDI QIDQ1098393

Peter Takáč

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

fractional powersfactorization\(\ell _ p\)-summability of characteristic values\(B_ p\)-criterion for an integral operatorfractional smoothness and decay at infinityresolvent of the selfadjoint elliptic operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) General theory of partial differential operators (47F05) Linear operators on function spaces (general) (47B38)

Cites Work

• The spectral remainder estimates for non-isotropic polyharmonic operators on bounded and quasibounded domains
• Imbedding theorems for weighted spaces and their applications in the study of the spectrum of the Schrödinger operator
• \(c_ p\)
• Singuläre elliptische Differentialgleichungen und Interpolationssätze für Sobolev-Slobodeckij-Räume mit Gewichtsfunktionen
• Spectral theory of operators in Hilbert space
• $L_p$-theory for a class of singular elliptic differential operators
• A Sufficient Condition for an Integral Operator to Have a Trace.
• The Distribution of the Eigenvalues for Singular Semi-Elliptic Boundary Value Problems
• A Formula for the Resolvent of (-Δ) m + M 2m q with Applications to Trace Class
• Theory of Simple Scattering and Eigenfunction Expansions
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