On higher dimensional Luecking's theorem

DOI10.2969/JMSJ/06110213zbMath1162.47027OpenAlexW2079681617MaRDI QIDQ1006185

Boo Rim Choe

Publication date: 20 March 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06110213

zbMATH Keywords

Bergman spaceToeplitz operatorfinite rank

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces of functions in several complex variables (32A36)

Related Items (10)

A generalization of the Brown-Halmos theorems for the unit ball ⋮ Uncertainty principle for Weyl transform and Fourier–Wigner transform ⋮ Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space ⋮ Algebraic properties of Toeplitz operators on the polydisk ⋮ Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols ⋮ 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 ⋮ Finite Rank Toeplitz Operators in the Bergman Space ⋮ Finite sums of Toeplitz products on the polydisk ⋮ Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem

Cites Work

• Unnamed Item
• Trace ideal criteria for Toeplitz operators
• Berezin transforms on pluriharmonic Bergman spaces
• Finite rank Toeplitz operators on the Bergman space

This page was built for publication: On higher dimensional Luecking's theorem