Positive Toeplitz Operators of Schatten–Herz Type

DOI10.1017/S0027763000025733zbMath1167.47022MaRDI QIDQ5427241

Kyunguk Na, Boo Rim Choe, Hyungwoon Koo

Publication date: 19 November 2007

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

Full work available at URL: https://projecteuclid.org/euclid.nmj/1174668913

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) 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) Positive linear operators and order-bounded operators (47B65)

Related Items

Positive Schatten(-Herz) class Toeplitz operators on the half-space ⋮ Schatten-Herz type positive Toeplitz operators on pluriharmonic Bergman spaces ⋮ Carleson type measures for harmonic mixed norm spaces with application to Toeplitz operators ⋮ Schatten-Herz classes of Toeplitz operators on the generalized Fock space ⋮ Estimates for harmonic reproducing kernel and Bergman type operators on mixed norm and Besov spaces in the real ball ⋮ A Hardy-Littlewood type theorem for harmonic Bergman-Orlicz spaces and applications ⋮ Schatten-Herz operators, Berezin transform and mixed norm spaces ⋮ Schatten‐Herz class Toeplitz operators on harmonic Bergman spaces of smooth domains in Rⁿ ⋮ Norm estimates for Toeplitz operators on the Bergman space with symbols supported in circles and mixed norms ⋮ Schatten(-Herz) class extended Cesàro operators on Bergman spaces in the unit ball of ${\mathbf {C}}^n$ ⋮ Schatten-Herz class Toeplitz operators on weighted Bergman spaces induced by doubling weights

Cites Work

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• Herz classes and Toeplitz operators in the disk
• Reproducing kernels for harmonic Bergman spaces of the unit ball
• Positive Toeplitz operators between the harmonic Bergman spaces
• Positive Toeplitz operators from a harmonic Bergman space into another
• Harmonic Function Theory
• Interpolation of Herz Spaces and Applications
• Toeplitz operators on harmonic Bergman spaces
• Estimates of the harmonic Bergman kernel on smooth domains

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