Inequalities for rational functions

DOI10.1006/jath.1996.3104zbMath0890.30022OpenAlexW2013654362MaRDI QIDQ1379650

Evsey Dyn'kin

Publication date: 3 July 1998

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1996.3104

zbMATH Keywords

Blaschke productsBernstein-type inequalitiespseudoanalytic extension of rational functions

Mathematics Subject Classification ID

Related Items (7)

Conjugate functions on the closed interval and their relationship with uniform rational and piecewise polynomial approximations ⋮ \(H^{\infty}\) interpolation and embedding theorems for rational functions ⋮ Integral estimates of derivatives of rational functions in Hölder domains ⋮ Asymptotic sharpness of a Bernstein-type inequality for rational functions in $H^{2}$ ⋮ Inner functions in certain Hardy-Sobolev spaces ⋮ Bernstein-type inequalities for the derivatives of rational functions in $L\_\{p\}$-spaces, $0<p<1$, on Lavrent{’}ev curves ⋮ Existence criterion for estimates of derivatives of rational functions

Cites Work

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• The pseudoanalytic extension
• A constructive characterization of the Sobolev and Besov classes
• INEQUALITIES OF BERNSTEIN TYPE FOR DERIVATIVES OF RATIONAL FUNCTIONS, AND INVERSE THEOREMS OF RATIONAL APPROXIMATION
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• BMO and smooth truncation in Sobolev spaces
• Hankel operators, best approximations, and stationary Gaussian processes

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