A class of Toeplitz operators in several variables

DOI10.1007/s00006-015-0546-9zbMath1325.32003OpenAlexW2092335048WikidataQ125825176 ScholiaQ125825176MaRDI QIDQ888970

Dmitry Fedchenko, Nikolai N. Tarkhanov

Publication date: 5 November 2015

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://publishup.uni-potsdam.de/files/6670/premath17_2013.pdf

zbMATH Keywords

Fredholm propertyLaplace-Beltrami operatorToeplitz operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

• Traces of commutators of integral operators
• On the index of Toeplitz operators of several complex variables
• Spectral decomposition of Green's integrals and existence of \(W^{s,2}\)-solutions of matrix factorizations of the Laplace operator in a ball
• Toeplitz operators and index theory in several complex variables
• Toeplitz operators in \(n\)-dimensions
• Boundary problems for pseudo-differential operators
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Operator algebras related to the Bochner–Martinelli integral
• Geometric Analysis of the Bergman Kernel and Metric
• Theory of Reproducing Kernels
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