Integral means of weighted Hardy-Bloch functions

DOI10.1007/s00013-014-0713-6zbMath1310.32008OpenAlexW2067542158MaRDI QIDQ2514376

Evgueni Doubtsov

Publication date: 3 February 2015

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0713-6

zbMATH Keywords

lacunary seriesintegral meansHardy-Bloch space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22)

Cites Work

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• Radial growth of the derivative of univalent functions
• Spaces of analytic functions of Hardy-Bloch type
• On harmonic Hardy and Bergman spaces
• Weighted Bloch spaces and quadratic integrals
• Area type inequalities and integral means of harmonic functions on the unit ball
• Integral means and coefficient estimates on planar harmonic mappings
• $L^{p}$-behaviour of the integral means of analytic functions
• On the Distortion of Boundary Sets Under Conformal Mappings
• Holomorphic Lipschitz Functions in Pseudoconvex Domains

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