Compact sums of Toeplitz products and Toeplitz algebra on the Dirichlet space

DOI10.2748/tmj/1466172772zbMath1353.47057OpenAlexW2474568552MaRDI QIDQ312732

Young Joo Lee

Publication date: 16 September 2016

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1466172772

zbMATH Keywords

Toeplitz operatorFredholm operatorsDirichlet spaceToeplitz algebra

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) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (9)

Unnamed Item ⋮ FREDHOLM TOEPLITZ OPERATORS ON THE DIRICHLET SPACES OF THE POLYDISK ⋮ Kernels and spectrum of Toeplitz operators on the Dirichlet space ⋮ Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space ⋮ Finite sums of dual Toeplitz products ⋮ Toeplitz products on Bergman-Sobolev spaces over the unit polydisk ⋮ Compact Toeplitz operators products on Hardy-Sobolev spaces over the unit polydisk ⋮ Kernels and ranks of Hankel operators on the Dirichlet spaces ⋮ Toeplitz operators on Hardy-Sobolev spaces

Cites Work

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• Toeplitz products with pluriharmonic symbols on the Hardy space over the ball
• Sums of products of Toeplitz and Hankel operators on the Dirichlet space
• Finite sums of Toeplitz products on the Dirichlet space
• Compact Toeplitz operators via the Berezin transform on bounded symmetric domains
• Fredholm properties of Toeplitz operators on Dirichlet spaces
• Compact products of Toeplitz operators on the Dirichlet space of the unit ball
• Zero products of Toeplitz operators with harmonic symbols

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