Sergey Kislyakov, Natan Kruglyak

Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (eBook, PDF)

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer Basel
• Erscheinungstermin: 29. Oktober 2012
• Englisch
• ISBN-13: 9783034804691
• Artikelnr.: 37795854

Inhaltsangabe

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Preface.- Introduction.- Definitions, notation, and some standard facts.- Part 1. Background.- Chapter 1. Classical Calderón-Zygmund decomposition and real interpolation.- Chapter 2. Singular integrals.- Chapter 3. Classical covering theorems.- Chapter 4. Spaces of smooth functions and operators on them.- Chapter 5. Some topics in interpolation.- Chapter 6. Regularization for Banach spaces.- Chapter 7. Stability for analytic Hardy spaces.- Part 2. Advanced theory.- Chapter 8. Controlled coverings.- Chapter 9. Construction of near-minimizers.- Chapter 10. Stability of near-minimizers.- Chapter 11. The omitted case of a limit exponent.- Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel-Lizorkin spaces.- Notes and remarks.- Bibliography.- Index.

Rezensionen

From the reviews:

"The monograph is a good source of information on spaces of smooth functions and real interpolation methods. ... the monograph could be a good reference on methods and results in the area. The book is highly recommended for specialists in approximation theory, harmonic analysis, functional analysis, and related areas. ... the monograph should be interesting for specialists in applied mathematics and computer science. Graduate students specializing in analysis should find many interesting topics here, as well as motivation for further research." (Alexander V. Tovstolis, Mathematical Reviews, August, 2013)
"This book consists of two parts. ... Each chapter closes with comments, historical remarks and further references. Everybody who is interested in this topic should consult this important book. Without doubt, this monograph will stimulate further research." (Manfred Tasche, zbMATH, Vol. 1270, 2013)