Hankel operators on Bergman spaces of tube domains over symmetric cones

DOI10.1007/s00020-008-1620-7zbMath1198.47047OpenAlexW1975598405MaRDI QIDQ733625

Benoit Florent Sehba

Publication date: 19 October 2009

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-008-1620-7

zbMATH Keywords

Besov spaceBergman spacetube domainSchatten classsmall Hankel operatorreproducing kernel thesisgeneralized wave operator

Mathematics Subject Classification ID

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) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (10)

Unnamed Item ⋮ Carleson embeddings and two operators on Bergman spaces of tube domains over symmetric cones ⋮ The product of small Hankel operators on the Bergman space ⋮ Unnamed Item ⋮ Essential norm estimates for little Hankel operators on weighted Bergman spaces of the unit ball ⋮ Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones ⋮ Schatten class Toeplitz operators on weighted Bergman spaces of tube domains over symmetric cones ⋮ О некоторых новых точных теоремах для мультифункциональных аналитических пространств типа Бергмана и типа Герца в трубчатой области над симметрические и конусами ⋮ Unnamed Item ⋮ On Traces in Hardy Type Analytic Spaces in Bounded Strictly Pseudoconvex Domains and in Tubular Domains over Symmetric Cones

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