An exploration of the unity of several areas in harmonic analysis, this text emphasizes real-variable methods. Discusses classical Fourier series, summability, norm convergence, and conjugate function. Examines the Hardy-Littlewood maximal function, the Calderón-Zygmund decomposition, the Hilbert transform and properties of harmonic functions, the Littlewood-Paley theory, more. 1986 edition.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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fractional integration, radial maximal function, sublinear operation, weak boundedness property, sublinear mapping, dyadic subintervals, nontangential convergence, sublinear operator, tempered growth, maximal theorem, interval decomposition, innermost integral, singular integral operators, bounded multiplier, several real variables, maximal operator, subharmonic functions, atomic decomposition, disjoint subintervals, interpolation theorem, open cubes, nontangential limit, first place observe, norm convergence, vanishing integral Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cauchy Integrals, Lipschitz Curves, The Basic Principles, Boundary Value Problems, Rubio de Francia, The Littlewood-Paley Theory, Calderón-Zygmund Singular Integral Operators, Hardy Spaces of Several Real Variables, Carleson Measures, Oscillation of Functions, The Hardy-Littlewood Maximal Function, Cesŕro Summability, Limiting Results, Maximal Function Characterization of Hardy Spaces, Paley's Theorem, Integral Representation of the Conjugate Operator Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
fractional integration, radial maximal function, sublinear operation, weak boundedness property, sublinear mapping, dyadic subintervals, nontangential convergence, sublinear operator, tempered growth, maximal theorem, interval decomposition, innermost integral, singular integral operators, bounded multiplier, several real variables, maximal operator, subharmonic functions, atomic decomposition, disjoint subintervals, interpolation theorem, open cubes, nontangential limit, first place observe, norm convergence, vanishing integral Key Phrases - Capitalized Phrases (CAPs): (learn more)
Cauchy Integrals, Lipschitz Curves, The Basic Principles, Boundary Value Problems, Rubio de Francia, The Littlewood-Paley Theory, Calderón-Zygmund Singular Integral Operators, Hardy Spaces of Several Real Variables, Carleson Measures, Oscillation of Functions, The Hardy-Littlewood Maximal Function, Cesŕro Summability, Limiting Results, Maximal Function Characterization of Hardy Spaces, Paley's Theorem, Integral Representation of the Conjugate Operator Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Surprise Me!
Citations (learn more)
14
books
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- Hypersingular Integrals and Their Applications (Analytical Methods and Special Functions) by Stefan Samko in Back Matter
- Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan by Wolfgang Arendt on page 359
- Wavelet Theory and Harmonic Analysis in Applied Sciences (Applied and Numerical Harmonic Analysis) by Carlos E. D'Attellis on page 32
- Clifford Algebras in Analysis and Related Topics (Studies in Advanced Mathematics) by John Ryan on page 238
- Real Reductive Groups I, Vol. 132 (Pure and Applied Mathematics) by Nolan R. Wallach in Index
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