\(C^\ast\)-algebras of poly-Bergman type operators with piecewise slowly oscillating coefficients

DOI10.1007/s10958-022-05874-0OpenAlexW4309195106MaRDI QIDQ6147831

Yuri I. Karlovich, Enrique Espinoza-Loyola

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05874-0

zbMATH Keywords

Fredholmness\(C^{\ast}\)-algebraslowly oscillating functionpiecewise continuous functionFredholm symbol calculuspoly-Bergman and anti-poly-Bergman projections

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Operator algebras with symbol structure (47L15)

Cites Work

• 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
• Algebras generated by the Bergman and anti-Bergman projections and by multiplications by piecewise continuous functions
• \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors
• Uniform domains and the quasi-hyperbolic metric
• On the compactness of operators of Hankel type
• On the structure of Bergman and poly-Bergman spaces
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Algebras generated by the Bergman projection and operators of multiplication by piecewise continuous functions
• \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients over domains with Dini-smooth corners
• On an algebra of Toeplitz operators with piecewise continuous symbols
• Limit operators and their applications in operator theory
• Approximation and extension of functions of vanishing mean oscillation
• C*-algebras of Bergman type operators with piecewise slowly oscillating coefficients over domains with Dini-smooth corners
• Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
• On the algebra generated by the harmonic Bergman projection and operators of multiplication by piecewise continuous functions
• \(C^*\)-algebras of poly-Bergman type operators over sectors
• Commutative algebras of Toeplitz operators on the Bergman space
• \(C^*\)-algebras of Bergman type operators with piecewise continuous coefficients
• ᵀ2^*-algebras of Bergman type operators with continuous coefficients on polygonal domains
• VMO, ESV, and Toeplitz Operators on the Bergman Space
• Functions of Vanishing Mean Oscillation
• Extensions of Hardy spaces and their use in analysis
• Local VMO and Weak Convergence in h¹
• Toeplitz Operators on Polyanalytic Functions and Klee's Combinatorial Identity
• Toeplitz operators in polyanalytic Bergman type spaces
• C *-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains
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