Hardy-Littlewood and Ulyanov Inequalities

• Autore: Kolomoitsev Yurii
• Pubblicazione: Providence : , : American Mathematical Society, , 2021; ©2021
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (132 pages)
• Disciplina: 515/.26
• Soggetto topico: Inequalities (Mathematics); Hardy-Littlewood method; Smoothness of functions; Approximations and expansions -- Approximations and expansions -- Multidimensional problems; Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Multipliers; Real functions -- Inequalities -- Inequalities involving derivatives and differential and integral operators; Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth'' functions, embedding theorems, trace theorems; Real functions -- Functions of one variable -- Fractional derivatives and integrals; Approximations and expansions -- Approximations and expansions -- Inequalities in approximation (Bernstein, Jackson, Nikol'skiĭ-type inequalities); Real functions -- Polynomials, rational functions -- Polynomials: analytic properties, etc; Approximations and expansions -- Approximations and expansions -- Approximation by polynomials
• Classificazione: 41A6342B1526D1046E3526A3341A1726C0541A10
• Altri autori: TikhonovSergey
• Note generali: "May 2021, volume 271, number 1325 (second of 7 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Auxiliary results -- Polynomial inequalities of Nikolʹskii-Stechkin-Boas-types -- Basic properties of fractional moduli of smoothness -- Hardy-Littlewood-Nikolʹskii inequalities for trigonometric polynomials -- General form of the Ulyanov inequality for moduli of smoothness, K-functionals, and their realizations -- Sharp Ulyanov inequalities for K-functionals and realizations -- Sharp Ulyanov inequalities for moduli of smoothness -- Sharp Ulyanov inequalities for realizations of K-functionals related to Riesz derivatives and corresponding moduli of smoothness -- Sharp Ulyanov inequality via Marchaud inequality -- Sharp Ulyanov and Kolyada inequalities in Hardy spaces -- (Lp, Lq) inequalities of Ulyanov-type involving derivatives -- Embedding theorems for function spaces.
• Sommario/riassunto: "We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness f, t)q and (f, t)p for 0 < p < q . A similar problem for the generalized K-functionals and their realizations between the couples (Lp,W p ) and (Lq,W q ) is also solved"--
• Titolo autorizzato: Hardy-Littlewood and Ulyanov Inequalities
• ISBN: 9781470466282; 1470466287
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910953756803321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society