The differentiation operator from model spaces to Bergman spaces and Peller type inequalities

DOI10.1007/s11854-018-0069-0OpenAlexW2904411299WikidataQ128731126 ScholiaQ128731126MaRDI QIDQ2000390

Rachid Zarouf, Anton D. Baranov

Publication date: 28 June 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6347

Mathematics Subject Classification ID

Operator theory (47-XX) Special classes of linear operators (47Bxx) Functional analysis (46-XX)

Related Items (2)

Integral estimates of derivatives of rational functions in Hölder domains ⋮ On Bernstein's inequality for polynomials

Cites Work

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• On inner functions with derivative in Bergman spaces
• On inner functions with \(B^p\) derivative
• Multiplication and division in the space of analytic functions with area integrable derivative, and in some related spaces
• On inner functions with \(H^p\)-derivative
• New proof of the Semmes inequality for the derivative of the rational function
• The Poisson Integral of a Singular Measure
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS
• INTEGRABILITY OF THE DERIVATIVE OF A BLASCHKE PRODUCT

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