Mean growth of the derivative of certain classes of analytic functions

Author:

Girela Daniel

Abstract

AbstractIn this paper we study the question of characterizing those positive Borel measures μ on the unit disc Δ for which the differentiation operator D defined by Df = f′ maps the Hardy space Hp continuously into the Bergman space Bp(dμ) of all functions f analytic in Δ which belong to Lp (Δ, dμ).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hardy Type Spaces and Bergman Type Classes of Complex-Valued Harmonic Functions;Bulletin of the Malaysian Mathematical Sciences Society;2023-06-14

2. On a logarithmic Hardy–Bloch type space, II;Rocky Mountain Journal of Mathematics;2022-02-01

3. Hardy Spaces for Quasiregular Mappings and Composition Operators;The Journal of Geometric Analysis;2021-05-12

4. Besov Spaces, Multipliers and Univalent Functions;Complex Analysis and Operator Theory;2011-07-02

5. Carleson Measures for Spaces of Dirichlet Type;Integral Equations and Operator Theory;2006-07

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