Hardy-Littlewood and Ulyanov Inequalities.

Format:

Book

Author/Creator:

Kolomoitsev, Yurii.

Contributor:

Tikhonov, Sergey.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.271

Language:

English

Subjects (All):

Inequalities (Mathematics).

Hardy-Littlewood method.

Smoothness of functions.

Physical Description:

1 online resource (132 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2021.

Summary:

"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"-- Provided by publisher.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

"May 2021, volume 271, number 1325 (second of 7 numbers)."

Includes bibliographical references.

ISBN:

9781470466282

1470466287

OCLC:

1264677087