Inequalities for analytic functions with the derivative in H1

2008/08/18 by Peyo Stoilov, Stoilov, Peyo
Mathematics · #30A10. #30D55 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CV #msc:30A10. #msc:30D55

paper · pdf · doi:10.48550/arxiv.0808.2482

arxiv created 2008/08/18 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved an inequality - integrated analogue of the Hardy inequality and as application simplified proof of the theorem of S. A. Vinogradov for the bounded Toeplitz operators on the space of functions analytic and bounded in the unit disc is given.

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