Moduli of holomorphic functions and logarithmically convex radial weights

DOI10.1112/blms/bdv026zbMath1325.30054arXiv1301.6216OpenAlexW2104673589MaRDI QIDQ5255543

Evgueni Doubtsov, Evgeny V. Abakumov

Publication date: 15 June 2015

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6216

zbMATH Keywords

weighted composition operatorscircular domainsextended Cesàro operatorsVolterra-type operatorsgrowth spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items

Differentiation and integration operators on weighted Banach spaces of holomorphic functions ⋮ On inclusion relations between weighted spaces of entire functions ⋮ Growth of proper holomorphic maps and tropical power series ⋮ Compactness of classical operators on weighted Banach spaces of holomorphic functions ⋮ INTEGRAL MEANS OF HOLOMORPHIC FUNCTIONS AS GENERIC LOG-CONVEX WEIGHTS ⋮ Approximation by proper holomorphic maps and tropical power series ⋮ Univalent symbols of Volterra operators on growth spaces ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey ⋮ Gaussian analytic functions and operator symbols of Dirichlet type ⋮ Classical operators in weighted Banach spaces of holomorphic functions ⋮ Small Bergman-Orlicz and Hardy-Orlicz spaces, and their composition operators ⋮ Harmonic approximation by finite sums of moduli

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