Schatten Class Hankel Operators on the Bergman Spaces of Strongly Pseudoconvex Domains

DOI10.2307/2159984zbMath0802.47022OpenAlexW4230523059MaRDI QIDQ4292225

Huiping Li

Publication date: 15 December 1994

Full work available at URL: https://doi.org/10.2307/2159984

zbMATH Keywords

Bergman spacesHankel operatorsSchatten classintegral formulasstrongly pseudoconvex domainsd-bar-equation

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) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) 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) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Hilbert-Schmidt Hankel operators on the Segal-Bargmann space ⋮ Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids ⋮ Schatten class Hankel operators on exponential Bergman spaces ⋮ A sufficient condition for L^p regularity of the Berezin transform ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ Schatten class Hankel and \(\overline{\partial}\)-Neumann operators on pseudoconvex domains in \(\mathbb {C}^{n}\) ⋮ The essential norm of Hankel operator on the Bergman spaces of strongly pseudoconvex domains ⋮ \(p\)-summable commutators in Bergman spaces on egg domains

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