Bernstein inequality in \(L^p\) on the line with power weight for \(p>0\)

DOI10.1134/S0001434622010357zbMath1491.41005OpenAlexW4213417751MaRDI QIDQ2113433

Dmitry Gorbachev

Publication date: 14 March 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622010357

zbMATH Keywords

Bernstein inequalityentire function of exponential typeDunkl operatorpower weight

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Other special orthogonal polynomials and functions (33C47)

Cites Work

• Riesz transforms for Dunkl transform
• Bernstein inequalities with nondoubling weights
• Erratum to: Atomic and molecular decompositions of anisotropic Besov spaces
• Fractional smoothness in \(L^p\) with Dunkl weight and its applications
• Positive \(L^p\)-bounded Dunkl-type generalized translation operator and its applications
• Weighted Markov-Bernstein inequalities for entire functions of exponential type
• Gauss and Markov quadrature formulae with nodes at zeros of eigenfunctions of a Sturm-Liouville problem, which are exact for entire functions of exponential type
• Константы Никольского в пространствах $L^{p}(\mathbb{R},|x|^{2\alpha+1}\,dx)$
• Bessel harmonic analysis and approximation of functions on the half-line
• Sampling Theorem for the Fourier Transform of a Distribution with Bounded Support

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