On the universal integral means spectrum of conformal mappings near the origin

DOI10.1090/S0002-9939-07-08737-0zbMath1109.30003OpenAlexW1976005167WikidataQ59288447 ScholiaQ59288447MaRDI QIDQ3432787

Haakan Hedenmalm, Serguei Shimorin

Publication date: 18 April 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08737-0

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Capacity and harmonic measure in the complex plane (30C85) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel functions in one complex variable and applications (30C40)

Related Items (8)

On \(L^1\)-estimates of derivatives of univalent rational functions ⋮ Spectral notions for conformal maps: a survey ⋮ On Hörmander's solution of the \(\bar{\partial}\)-equation. I ⋮ Boundary properties of Green functions in the plane ⋮ Bloch functions and asymptotic tail variance ⋮ Estimates of a spectrum of the integral means for lacunary series ⋮ Gaussian analytic functions and operator symbols of Dirichlet type ⋮ On the Makarov law of the iterated logarithm

Cites Work

• Weighted Bergman spaces and the integral means spectrum of conformal mappings
• On the Makarov law of the iterated logarithm
• Unnamed Item

This page was built for publication: On the universal integral means spectrum of conformal mappings near the origin