عنوان
پدید آورنده
موضوع
رده
QA3.P8 vol. 123QA403
QA3
.
P8
vol
.
123QA403
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0080874428
(Number (ISBN
6611767622
(Number (ISBN
9780080874425
(Number (ISBN
9786611767624
NATIONAL BIBLIOGRAPHY NUMBER
Number
b728625
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Real-variable methods in harmonic analysis
General Material Designation
[Book]
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Burlington :
Name of Publisher, Distributor, etc.
Elsevier Science,
Date of Publication, Distribution, etc.
1986.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (475 p.).
SERIES
Series Title
Pure and Applied Mathematics
GENERAL NOTES
Text of Note
5. Calderón-Zygmund Singular Integral Operators
Text of Note
Description based upon print version of record.
CONTENTS NOTE
Text of Note
Front Cover; Real-Variable Methods in Harmonic Analysis; Copyright Page; Contents; Preface; Chapter I. Fourier Series; 1. Fourier Series of Functions; 2. Fourier Series of Continuous Functions; 3. Elementary Properties of Fourier Series; 4. Fourier Series of Functionals; 5. Notes; Further Results and Problems; Chapter II. Cesàro Summability; 1. (C, 1) Summability; 2. Fejbér's Kernel; 3. Characterization of Fourier Series of Functions and Measures; 4. A.E. Convergence of (C, 1) Means of Summable Functions; 5 . Notes; Further Results and Problems
Text of Note
2. Ap Weights and the Hardy-Littlewood Maximal Function3. A1 Weights; 4. Ap Weights, p > 1; 5. Factorization of Ap Weights; 6. Ap and BMO; 7. An Extrapolation Result; 8. Notes; Further Results and Problems; Chapter X. More about Rn; 1. Distributions. Fourier Transforms; 2. Translation Invariant Operators. Multipliers; 3. The Hilbert and Riesz Transforms; 4. Sobolev and Poincaré Inequalities; Chapter XI. Calderón-Zygmund Singular Integral Operators; 1. The Bendek-Calderón-Panzone Principle; 2 . A Theorem of Zó; 3. Convolution Operators; 4. Cotlar's Lemma
Text of Note
2. The Poisson and Conjugate Poisson Kernels3. Harmonic Functions; 4. Further Properties of Harmonic Functions and Subharmonic Functions; 5 . Harnack's and Mean Value Inequalities; 6. Notes; Further Results and Problems; Chapter VIII. Oscillation of Functions; 1. Mean Oscillation of Functions; 2. The Maximal Operator and BMO; 3. The Conjugate of Bounded and BMO Functions; 4. Wk-Lp and Kf. Interpolation; 5 . Lipschitz and Morrey Spaces; 6. Notes; Further Results and Problems; Chapter IX. Ap Weights; 1. The Hardy-Littlewood Maximal Theorem for Regular Measures
Text of Note
6. The Banach Continuity Principle and a.e. Convergence7. Notes; Further Results and Problems; Chapter V. The Hilbert Transform and Multipliers; 1. Existence of the Hilbert Transform of Integrable Functions; 2. The Hilbert Transform in LP(T), 1<= p < 00; 3. Limiting Results; 4. Multipliers; 5. Notes; Further Results and Problems; Chapter VI. Paley's Theorem and Fractional Integration; 1. Paley's Theorem; 2. Fractional Integration; 3. Multipliers; 4. Notes; Further Results and Problems; Chapter VII. Harmonic and Subharmonic Functions; 1. Abel Summability, Nontangential Convergence
Text of Note
Chapter III. Norm Convergence of Fourier Series1. The Case L2( T); Hilbert Space; 2. Norm Convergence in Lp(T), 1 < p< 00; 3. The Conjugate Mapping; 4. More on Integrable Functions; 5 . Integral Representation of the Conjugate Operator; 6. The Truncated Hilbert Transform; 7. Notes; Further Results and Problems; Chapter IV. The Basic Principles; 1. The Calderón-Zygmund Interval Decomposition; 2. The Hardy-Littlewood Maximal Function; 3. The Calderón-Zygmund Decomposition; 4. The Marcinkiewicz Interpolation Theorem; 5 . Extrapolation and the Zygmund L In L Class
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SUMMARY OR ABSTRACT
Text of Note
Real-variable methods in harmonic analysis.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
0-12-695460-7
PARALLEL TITLE PROPER
Parallel Title
Pure and Applied Mathematics
Parallel Title
Pure and Applied Mathematics Vol. 123
Parallel Title
Real Variable Methods in Harmonic Analysis
ABBREVIATED TITLE
Abbreviated Title
PURE AND APPLIED MATHEMATICS, VOLUME 123
Abbreviated Title
REAL-VARIABLE METHODS IN HARMONIC ANALYSIS. PURE AND APPLIED MATHEMATICS
TOPICAL NAME USED AS SUBJECT
Harmonic analysis.
Harmonic analysis.
Civil & Environmental Engineering.
Engineering & Applied Sciences.
Harmonic analysis.
Mathematical Theory.
Mathematics.
Operations Research.
Physical Sciences & Mathematics.
DEWEY DECIMAL CLASSIFICATION
Number
515
.
2433
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA3
.
P8
vol
.
123QA403
PERSONAL NAME - PRIMARY RESPONSIBILITY
AUTHOR, UNKNOWN.
ORIGINATING SOURCE
Date of Transaction
20201214115847.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
