عنوان
پدید آورنده
موضوع
رده
QA3.P8 vol. 123QA403
QA3
.
P8
vol
.
123QA403
کتابخانه
محل استقرار
0080874428
6611767622
9780080874425
9786611767624
b728625
Real-variable methods in harmonic analysis
[Book]
Burlington :
Elsevier Science,
1986.
1 online resource (475 p.).
Pure and Applied Mathematics
5. Calderón-Zygmund Singular Integral Operators
Description based upon print version of record.
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
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
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
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
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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8
8
8
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Real-variable methods in harmonic analysis.
0-12-695460-7
Pure and Applied Mathematics
Pure and Applied Mathematics Vol. 123
Real Variable Methods in Harmonic Analysis
PURE AND APPLIED MATHEMATICS, VOLUME 123
REAL-VARIABLE METHODS IN HARMONIC ANALYSIS. PURE AND APPLIED MATHEMATICS
Harmonic analysis.
Harmonic analysis.
Civil & Environmental Engineering.
Engineering & Applied Sciences.
Harmonic analysis.
Mathematical Theory.
Mathematics.
Operations Research.
Physical Sciences & Mathematics.
515
.
2433
QA3
.
P8
vol
.
123QA403
AUTHOR, UNKNOWN.
20201214115847.0
مطالعه متن کتاب [Book]
Y
