Spectral properties of the \(\bar\partial\)-canonical solution operator.

DOI10.1016/S0022-1236(03)00139-3zbMath1058.47028MaRDI QIDQ1429824

S. Lovera, El Hassan Youssfi

Publication date: 27 May 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

boundednesscompactnessSchatten \(p\)-class\(\bar\partial\)-canonical solution operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items

Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces, Some spectral properties of the canonical solution operator to \(\overline{\partial}\) on weighted Fock spaces, Derivatives of the Berezin transform, Spectral properties of the canonical solution operator to \(\overline{\partial}\), The polyanalytic reproducing kernels, Hankel operators and the Stieltjes moment problem

Cites Work

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• The canonical solution operator to \(\overline{\partial}\) restricted to spaces of entire functions
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• Hilbert-Schmidt Hankel Operators on the Bergman Space
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• Membership of Hankel Operators on the Ball in Unitary Ideals
• Möbius invariant besov p-spaces and hankel operators in the bergman space on the ball in C ⁿ