Finite Rank Toeplitz Operators in the Bergman Space

DOI10.1007/978-1-4419-1345-6_12zbMath1208.47029arXiv0904.0171OpenAlexW94563512MaRDI QIDQ5188071

Grigori Rozenblum

Publication date: 10 March 2010

Published in: Around the Research of Vladimir Maz'ya III (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.0171

zbMATH Keywords

distributionBergman spaceToeplitz operatorharmonic Bergman spaceLandau Hamiltonianfinite rank problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (10)

Toeplitz operators defined by sesquilinear forms: Bergman space case ⋮ Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space ⋮ Uncertainty principle for Weyl transform and Fourier–Wigner transform ⋮ Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space ⋮ Toeplitz operators defined by sesquilinear forms: Fock space case ⋮ Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols ⋮ Toeplitz operators in the Herglotz space ⋮ D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform ⋮ The finite rank theorem for Toeplitz operators on the Fock space ⋮ On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces

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