Opening book details…
Can I read Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Monografie Matematyczne Book 74) on EtoBox?
Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Monografie Matematyczne Book 74) by Sergey Kislyakov, Natan Kruglyak is a nonfiction available to read on EtoBox.
What is Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Monografie Matematyczne Book 74) about?
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 fu
Who reads Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals (Monografie Matematyczne Book 74)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Sergey Kislyakov, Natan Kruglyak
- Publisher
- Springer Basel; Imprint: Birkhäuser
- Published
- 2012
- Language
- EN
- ISBN
- 9783034804691
- Category
- nonfiction
- Subjects
- Mathematics, Science, Stem
Other editions & translations
More by Sergey Kislyakov, Natan Kruglyak
Browse all works by Sergey Kislyakov, Natan Kruglyak
Similar books
- Topology Of Singular Spaces And Constructible Sheaves (monografie Matematyczne) — Jörg Schürmann (2003)
- Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift — Georgii S. Litvinchuk (auth.) (2000)
- Approximation by Multivariate Singular Integrals (SpringerBriefs in Mathematics Book 3) — George A. Anastassiou (auth.) (2011)
- Theory of Extremal Problems : Theory of Extremal Problems — A.D. Ioffe and V.M. Tihomirov (1979)
- Function Theory: Interpolation and Corona Problems (Fields Institute Monographs) — E. T. 1951- author (Eric T.) Sawyer (2009)
- Theory of Shape. Monografie Matematyczne Tom 59 — Karol Borsuk (1975)
