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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals: 74 (Monografie Matematyczne, 74) - Softcover
Synopsis
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators.
The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.
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From the Back Cover
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators.
The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Monografie Matematyczne, 74)
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (eng)
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
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Springer Basel Nov 2014, 2014
ISBN 10: 303480752X
ISBN 13: 9783034807524
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón-Zygmund decomposition. These new Calderón-Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón-Zygmund singular integral operators.The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón-Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals. 332 pp. Englisch. Seller Inventory # 9783034807524
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Paperback)
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ISBN 13: 9783034807524
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Paperback. Condition: new. Paperback. In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical CalderonZygmund decomposition. These new CalderonZygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of CalderonZygmund singular integral operators.The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical CalderonZygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals. In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9783034807524
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
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Condition: New. This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory. Series: Monografie Matematyczne. Num Pages: 332 pages, biography. BIC Classification: PBKB; PBKF; PBKJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 18. Weight in Grams: 510. . 2014. 2013th Edition. paperback. . . . . Seller Inventory # V9783034807524
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
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Springer Basel, Birkhäuser Nov 2014, 2014
ISBN 10: 303480752X
ISBN 13: 9783034807524
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón¿Zygmund decomposition. These new Calderón¿Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón¿Zygmund singular integral operators.The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón¿Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 332 pp. Englisch. Seller Inventory # 9783034807524
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Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals
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Condition: New. This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory. Series: Monografie Matematyczne. Num Pages: 332 pages, biography. BIC Classification: PBKB; PBKF; PBKJ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 18. Weight in Grams: 510. . 2014. 2013th Edition. paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9783034807524
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