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Hardy-Littlewood and Ulyanov Inequalities.
- Format:
- Book
- Author/Creator:
- Kolomoitsev, Yurii.
- 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
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