An introduction to singular integrals /
This book, focused on singular integrals, provides basic techniques in real analysis, Hardy-Littlewood maximal operator, Calderon-Zygmund theory, Riesz transforms, Littlewood-Paley theory, Fourier multipliers, spaces H1 and BMO, interpolation of operators (real and complex methods). The subject is r...
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| Format: | Book |
| Language: | English |
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Beijing : Philadelphia :
Higher Education Press ; Society for Industrial and Applied Mathematics,
[2018]
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| Subjects: |
| Summary: | This book, focused on singular integrals, provides basic techniques in real analysis, Hardy-Littlewood maximal operator, Calderon-Zygmund theory, Riesz transforms, Littlewood-Paley theory, Fourier multipliers, spaces H1 and BMO, interpolation of operators (real and complex methods). The subject is rather classical, but we aim at giving a treatment as simple as possible. Despite its concision, this book provides full proofs of all results, not only sketches. At the end of each chapter, a few exercises are proposed with sufficient hints so that a careful reader can solve them. They present materials that would have interrupted the exposition, which nevertheless are important. The prerequisites are: measure and integration theory, a certain familiarity with the Fourier transform in Euclidean spaces. |
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| Physical Description: | viii, 115 pages ; 26 cm. |
| Bibliography: | Includes bibliographical references (page 113) and index. |
| ISBN: | 9781611975413 1611975417 |