True poly-Bergman and poly-Bergman kernels for the complement of a closed disk

DOI10.1007/s11785-012-0272-4zbMath1275.30031OpenAlexW2092450382MaRDI QIDQ371895

Luís V. Pessoa

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-012-0272-4

zbMATH Keywords

poly-Bergman kernelpoly-Bergman spaceBeurling transformtrue poly-Bergman kerneltwo-dimensional singular integral operator

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30H99) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Biharmonic Bergman space and its reproducing kernel ⋮ Estimates for the polyharmonic Bergman kernel and their applications

Cites Work

• Dzhuraev's formulas and poly-Bergman kernels on domains Möbius equivalent to a disk
• On the structure of Bergman and poly-Bergman spaces
• Planar Beurling transform and Bergman type spaces
• Commutative algebras of Toeplitz operators on the Bergman space
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