Algebras of convolution type operators with piecewise slowly oscillating data. I: Local and structural study

DOI10.1007/S00020-012-2004-6zbMath1275.47103OpenAlexW1981427237MaRDI QIDQ1946559

Iván Loreto Hernández, Yuri I. Karlovich

Publication date: 15 April 2013

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

Full work available at URL: https://doi.org/10.1007/s00020-012-2004-6

zbMATH Keywords

maximal ideal spacecommutatorlimit operatorconvolution type operatorpiecewise slowly oscillating functionlocal principletwo idempotents theorem

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (12)

Algebras of convolution type operators with continuous data do not always contain all rank one operators ⋮ Index formula for convolution type operators with data functions in \(\operatorname{alg}(SO,PC)\) ⋮ \(C^{\ast}\)-algebra of nonlocal convolution type operators ⋮ Algebras of convolution-type operators with piecewise slowly oscillating data on weighted Lebesgue spaces ⋮ Fredholmness of singular integral operators with complex conjugation on star-like curves with cusps ⋮ Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces ⋮ Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness ⋮ Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces ⋮ Localization of a Class of Muckenhoupt Weights by Using Mellin Pseudo-Differential Operators ⋮ Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers ⋮ Calkin images of Fourier convolution operators with slowly oscillating symbols ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

Cites Work

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• Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts
• Necessary conditions for Fredholmness of singular integral operators with shifts and slowly oscillating data
• Wiener-Hopf operators with semi-almost periodic matrix symbols on weighted Lebesgue spaces
• Wiener-Hopf integral operators with \(PC\) symbols on spaces with Muckenhoupt weight
• Pseudodifferential operators with heavy spectrum
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights
• Singular integral operators with fixed singularities on weighted Lebesgue spaces
• Limit operators and their applications in operator theory
• Algebras of convolution type operators with piecewise slowly oscillating data. II: Local spectra and Fredholmness
• Wiener-Hopf operators with slowly oscillating matrix symbols on weighted Lebesgue spaces
• \(C^*\)-algebras of integral operators with piecewise slowly oscillating coefficients and shifts acting freely
• Symbol calculus and Fredholmness for a Banach algebra of convolution type operators with slowly oscillating and piecewise continuous data
• PSEUDODIFFERENTIAL OPERATORS ON $ \mathbf{R}^n$ AND LIMIT OPERATORS
• Fredholm Toeplitz Operators and Slow Oscillation
• Functions of Vanishing Mean Oscillation
• Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions
• On Convolution Type Operators with Piecewise Slowly Oscillating Data
• A shift-invariant algebra of singular integral operators with oscillating coefficients

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