Toeplitz operators on harmonic Bergman spaces

DOI10.1017/S0027763000008837zbMath1067.47039MaRDI QIDQ4818207

Kyunguk Na, Young Joo Lee, Boo Rim Choe

Publication date: 27 September 2004

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Bergman spaceharmonic functionToeplitz operatorFredholm operatoressential spectrumSchatten class

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (18)

Positive Toeplitz operators from a harmonic Bergman space into another ⋮ Positive Schatten(-Herz) class Toeplitz operators on the half-space ⋮ Toeplitz operators on Herglotz wave functions ⋮ Carleson type measures for harmonic mixed norm spaces with application to Toeplitz operators ⋮ Schatten \(p\)-class Toeplitz operators with unbounded symbols an pluriharmonic Bergman space ⋮ Finite rank products of Toeplitz operators on the harmonic Bergman space ⋮ Toeplitz operators on a class of radially weighted harmonic Bergman spaces ⋮ On \(C^\ast\)-algebras of Toeplitz operators on the harmonic Bergman space ⋮ Toeplitz operators on radially weighted harmonic Bergman spaces ⋮ Atomic decomposition of harmonic Bergman functions ⋮ Schatten‐Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in Rⁿ ⋮ Hankel operators on harmonic Bergman spaces ⋮ Positive Toeplitz Operators of Schatten–Herz Type ⋮ Heat flow, BMO, and the compactness of Toeplitz operators ⋮ Inclusion relations between harmonic Bergman-Besov and weighted Bloch spaces on the unit ball ⋮ Local eigenvalue asymptotics of the perturbed Krein Laplacian ⋮ Positive Toeplitz operators from a harmonic Bergman-Besov space into another ⋮ Carleson measures for weighted harmonic mixed norm spaces on bounded domains in $\mathbb{R}^n$

Cites Work

• Toeplitz operators on harmonic Bergman spaces
• Positive Toeplitz operators between the harmonic Bergman spaces
• Compact Hankel operators on harmonic Bergman spaces
• Embedding theorems for weighted classes of harmonic and analytic functions
• Estimates of the harmonic Bergman kernel on smooth domains

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