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
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
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متن يادداشت
Real-variable methods in harmonic analysis.
ویراست دیگر از اثر در قالب دیگر رسانه
شماره استاندارد بين المللي کتاب و موسيقي
0-12-695460-7
عنوان اصلی به زبان دیگر
عنوان اصلي به زبان ديگر
Pure and Applied Mathematics
عنوان اصلي به زبان ديگر
Pure and Applied Mathematics Vol. 123
عنوان اصلي به زبان ديگر
Real Variable Methods in Harmonic Analysis
عنوان خلاصه ( پیایندها)
عنوان خلاصه
PURE AND APPLIED MATHEMATICS, VOLUME 123
عنوان خلاصه
REAL-VARIABLE METHODS IN HARMONIC ANALYSIS. PURE AND APPLIED MATHEMATICS
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Harmonic analysis.
موضوع مستند نشده
Harmonic analysis.
موضوع مستند نشده
Civil & Environmental Engineering.
موضوع مستند نشده
Engineering & Applied Sciences.
موضوع مستند نشده
Harmonic analysis.
موضوع مستند نشده
Mathematical Theory.
موضوع مستند نشده
Mathematics.
موضوع مستند نشده
Operations Research.
موضوع مستند نشده
Physical Sciences & Mathematics.
رده بندی ديویی
شماره
515
.
2433
رده بندی کنگره
شماره رده
QA3
.
P8
vol
.
123QA403
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )