Hilbert-Schmidt Hankel operators with anti-holomorphic symbols on complex ellipsoids

DOI10.1007/s00020-013-2070-4zbMath1288.47028arXiv1305.7150OpenAlexW2067777140MaRDI QIDQ361897

Yunus E. Zeytuncu, Mehmet Çelik

Publication date: 19 August 2013

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

Full work available at URL: https://arxiv.org/abs/1305.7150

zbMATH Keywords

Hilbert-Schmidt operatorsHankel operatorscanonical solution operator for \(\overline{\partial}\)-problemcomplex ellipsoids

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) Bergman spaces of functions in several complex variables (32A36)

Related Items (3)

Analysis on the intersection of pseudoconvex domains ⋮ Schatten class Hankel and \(\overline{\partial}\)-Neumann operators on pseudoconvex domains in \(\mathbb {C}^{n}\) ⋮ Hilbert-Schmidt Hankel operators over complete Reinhardt domains

Cites Work

• Domains with finite dimensional Bergman space
• On the boundedness and compactness of operators of Hankel type
• Hankel operators on weighted Bergman spaces on strongly pseudoconvex domains
• The effect of boundary geometry on Hankel operators belonging to the trace ideals of Bergman spaces
• Boundedness and compactness of generalized Hankel operators on bounded symmetric domains
• Trace ideal criteria for operators of Hankel type
• Hilbert-Schmidt Hankel Operators on the Bergman Space
• New formulas of the Bergman kernels for complex ellipsoids in $\mathbb {C}^2$
• Hankel Operators on Weighted Bergman Spaces
• Schatten Class Hankel Operators on the Bergman Spaces of Strongly Pseudoconvex Domains
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