On the structure of polyharmonic Bergman-type spaces over the unit disk

DOI10.1080/17476933.2015.1041111zbMath1330.31001OpenAlexW2166951259MaRDI QIDQ3455410

Luís V. Pessoa

Publication date: 4 December 2015

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1041111

zbMATH Keywords

singular integral operatorBeurling-Ahlfors transformpolyharmonic Bergman spacetrue polyharmonic Bergman space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

Toeplitz operators on the polyharmonic Bergman space ⋮ Isometries, direct sum decompositions, analytic type function spaces, and radial operators ⋮ Biharmonic Bergman space and its reproducing kernel ⋮ Polyharmonic Bergman spaces and Bargmann type transforms ⋮ Estimates for the polyharmonic Bergman kernel and their applications ⋮ The polyharmonic Bergman space for the union of rotated unit balls ⋮ Toeplitz operators in polyanalytic Bergman type spaces

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