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Record Nr. |
UNINA9910953756803321 |
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Autore |
Kolomoitsev Yurii |
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Titolo |
Hardy-Littlewood and Ulyanov Inequalities |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2021 |
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©2021 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (132 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.271 |
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Classificazione |
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41A6342B1526D1046E3526A3341A1726C0541A10 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"May 2021, volume 271, number 1325 (second of 7 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Auxiliary results -- Polynomial inequalities of Nikolʹskii-Stechkin-Boas-types -- Basic properties of fractional moduli of smoothness -- Hardy- |
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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. |
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Sommario/riassunto |
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"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"-- |
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