Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals: 74 (Monografie Matematyczne) - Tapa blanda

Kislyakov, Sergey; Kruglyak, Natan

 
9783034807524: Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals: 74 (Monografie Matematyczne)
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ISBN 10: 303480752X ISBN 13: 9783034807524
Editorial: Birkhäuser, 2014

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2014
Idioma
Inglés
ISBN 10 
303480752X
ISBN 13 
9783034807524
Encuadernación
Tapa blanda
Número de páginas
332
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9783034804684: Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals: 74 (Monografie Matematyczne)

Edición Destacada

ISBN 10:  3034804687 ISBN 13:  9783034804684
Editorial: Birkhäuser, 2012
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