Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains

zbMath0812.47023MaRDI QIDQ1328082

Marco M. Peloso

Publication date: 9 May 1995

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hankel operatorBesov spacesweighted Bergman spacecovariant derivativeSchatten ideal

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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)

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On the \(p\)-essential normality of principal submodules of the Bergman module on strongly pseudoconvex domains ⋮ Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids ⋮ The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces ⋮ Approximation in weighted Bergman spaces and Hankel operators on strongly pseudoconvex domains ⋮ The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness ⋮ Dominating sets in Bergman spaces on strongly pseudoconvex domains ⋮ Essential commutants on strongly pseudo-convex domains ⋮ Compactness of Hankel operators with symbols continuous on the closure of pseudoconvex domains ⋮ Compactness of Hankel operators with continuous symbols ⋮ Commutants of Toeplitz operators with monomial symbols ⋮ Hilbert-Schmidt Hankel operators over complete Reinhardt domains ⋮ Schatten class composition operators on weighted Bergman spaces of bounded symmetric domains ⋮ Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains ⋮ \(p\)-summable commutators in Bergman spaces on egg domains ⋮ On boundary behaviour of symplectomorphisms

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