The index of singular integral operators in reflexive Orlicz spaces

DOI10.1007/BF02314841zbMath0933.47033MaRDI QIDQ1290810

Alexei Yu. Karlovich

Publication date: 27 March 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Orlicz spacesFredholm operatorsingular integral operatorsindex of an operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Integral operators (47G10)

Related Items (2)

Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves ⋮ A shift-invariant algebra of singular integral operators with oscillating coefficients

Cites Work

• Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points
• Extension theorems for Fredholm and invertibility symbols
• Indices for the Orlicz spaces
• Opérateurs intégraux singuliers sur certaines courbes du plan complexe
• Two Projection Theorems and Symbol Calculus for Operators with Massive Local Spectra
• Submultpilicative fuctions and spectral theory of toeplitz operators
• Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Reflexive Orlicz Spaces
• Indices of Function Spaces and their Relationship to Interpolation
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