Hardy Littlewood And Ulyanov Inequalities
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Author |
: Yurii Kolomoitsev |
Publisher |
: American Mathematical Society |
Total Pages |
: 118 |
Release |
: 2021-09-24 |
ISBN-10 |
: 9781470447588 |
ISBN-13 |
: 1470447584 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Hardy-Littlewood and Ulyanov Inequalities by : Yurii Kolomoitsev
View the abstract.
Author |
: YURII. KOLOMOITSEV |
Publisher |
: |
Total Pages |
: |
Release |
: 2021 |
ISBN-10 |
: 1470466287 |
ISBN-13 |
: 9781470466282 |
Rating |
: 4/5 (87 Downloads) |
Synopsis HARDY-LITTLEWOOD AND ULYANOV INEQUALITIES. by : YURII. KOLOMOITSEV
Author |
: Óscar Domínguez |
Publisher |
: American Mathematical Society |
Total Pages |
: 180 |
Release |
: 2023-02-13 |
ISBN-10 |
: 9781470455385 |
ISBN-13 |
: 1470455382 |
Rating |
: 4/5 (85 Downloads) |
Synopsis Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations by : Óscar Domínguez
View the abstract.
Author |
: |
Publisher |
: |
Total Pages |
: 964 |
Release |
: 2002 |
ISBN-10 |
: UVA:X006180629 |
ISBN-13 |
: |
Rating |
: 4/5 (29 Downloads) |
Synopsis Mathematical Reviews by :
Author |
: Jürgen Appell |
Publisher |
: Walter de Gruyter |
Total Pages |
: 488 |
Release |
: 2013-12-12 |
ISBN-10 |
: 9783110265118 |
ISBN-13 |
: 3110265117 |
Rating |
: 4/5 (18 Downloads) |
Synopsis Bounded Variation and Around by : Jürgen Appell
The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their study, their relations to other important function classes, and their applications to various problems arising in Fourier analysis and nonlinear analysis. In the first part the basic facts about spaces of functions of bounded variation and related spaces are collected, the main ideas which are useful in studying their properties are presented, and a comparison of their importance and suitability for applications is provided, with a particular emphasis on illustrative examples and counterexamples. The second part is concerned with (sometimes quite surprising) properties of nonlinear composition and superposition operators in such spaces. Moreover, relations with Riemann-Stieltjes integrals, convergence tests for Fourier series, and applications to nonlinear integral equations are discussed. The only prerequisite for understanding this book is a modest background in real analysis, functional analysis, and operator theory. It is addressed to non-specialists who want to get an idea of the development of the theory and its applications in the last decades, as well as a glimpse of the diversity of the directions in which current research is moving. Since the authors try to take into account recent results and state several open problems, this book might also be a fruitful source of inspiration for further research.
Author |
: |
Publisher |
: |
Total Pages |
: 686 |
Release |
: 1998 |
ISBN-10 |
: UCSC:32106015371153 |
ISBN-13 |
: |
Rating |
: 4/5 (53 Downloads) |
Synopsis Russian Mathematical Surveys by :
Author |
: Martha Abell |
Publisher |
: Springer Nature |
Total Pages |
: 373 |
Release |
: 2019-10-21 |
ISBN-10 |
: 9783030122775 |
ISBN-13 |
: 3030122778 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Topics in Classical and Modern Analysis by : Martha Abell
Different aspects of harmonic analysis, complex analysis, sampling theory, approximation theory and related topics are covered in this volume. The topics included are Fourier analysis, Padè approximation, dynamical systems and difference operators, splines, Christoffel functions, best approximation, discrepancy theory and Jackson-type theorems of approximation. The articles of this collection were originated from the International Conference in Approximation Theory, held in Savannah, GA in 2017, and organized by the editors of this volume.
Author |
: International Labour Office |
Publisher |
: International Labour Organization |
Total Pages |
: 578 |
Release |
: 2004-08-25 |
ISBN-10 |
: 922113699X |
ISBN-13 |
: 9789221136996 |
Rating |
: 4/5 (9X Downloads) |
Synopsis Consumer Price Index Manual by : International Labour Office
The consumer price index (CPI) measures the rate at which prices of consumer goods and services change over time. It is used as a key indicator of economic performance, as well as in the setting of monetary and socio-economic policy such as indexation of wages and social security benefits, purchasing power parities and inflation measures. This manual contains methodological guidelines for statistical offices and other agencies responsible for constructing and calculating CPIs, and also examines underlying economic and statistical concepts involved. Topics covered include: expenditure weights, sampling, price collection, quality adjustment, sampling, price indices calculations, errors and bias, organisation and management, dissemination, index number theory, durables and user costs.
Author |
: Colin Bennett |
Publisher |
: Academic Press |
Total Pages |
: 489 |
Release |
: 1988-04-01 |
ISBN-10 |
: 9780080874487 |
ISBN-13 |
: 0080874487 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Interpolation of Operators by : Colin Bennett
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Author |
: Z. Ditzian |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 233 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461247784 |
ISBN-13 |
: 1461247780 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Moduli of Smoothness by : Z. Ditzian
The subject of this book is the introduction and application of a new measure for smoothness offunctions. Though we have both previously published some articles in this direction, the results given here are new. Much of the work was done in the summer of 1984 in Edmonton when we consolidated earlier ideas and worked out most of the details of the text. It took another year and a half to improve and polish many of the theorems. We express our gratitude to Paul Nevai and Richard Varga for their encouragement. We thank NSERC of Canada for its valuable support. We also thank Christine Fischer and Laura Heiland for their careful typing of our manuscript. z. Ditzian V. Totik CONTENTS Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 PART I. THE MODULUS OF SMOOTHNESS Chapter 1. Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.1. Notations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 1.2. Discussion of Some Conditions on cp(x). . . . • . . . . . . . • . . • . . • • . 8 . . . • . 1.3. Examples of Various Step-Weight Functions cp(x) . . • . . • . . • . . • . . . 9 . . • Chapter 2. The K-Functional and the Modulus of Continuity ... . ... 10 2.1. The Equivalence Theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . 10 . . . . . . . . . 2.2. The Upper Estimate, Kr.tp(f, tr)p ~ Mw;(f, t)p, Case I . . . . . . . . . . . . 12 . . . 2.3. The Upper Estimate of the K-Functional, The Other Cases. . . . . . . . . . 16 . 2.4. The Lower Estimate for the K-Functional. . . . . . . . . . . . . . . . . . . 20 . . . . . Chapter 3. K-Functionals and Moduli of Smoothness, Other Forms. 24 3.1. A Modified K-Functional . . . . . . . . . . . . . . . . . . . . . . . . . . 24 . . . . . . . . . . 3.2. Forward and Backward Differences. . . . . . . . . . . . . . . . . . . . . . 26 . . . . . . . 3.3. Main-Part Modulus of Smoothness. . . . . . . . . . . . . . . . . . . . . . 28 . . . . . . .