Extremal problems in interpolation theory, Whitney-Besicovitch coverings, and 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. The constructions are based on far-reaching refinements of the classical Calderó...
Zapisane w:
| Główni autorzy: | , |
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| Format: | Livre numérique |
| Język: | Anglais |
| Wydane: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Wydanie: | 1st ed. 2013. |
| Seria: | Monografie Matematyczne
74 |
| Dostęp online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Komentarz: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals, Texte imprimé, 9783034804707 • Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals, Texte imprimé, 9783034807524 • Extremal problems in interpolation theory, Whitney-Besicovitch coverings, and singular integrals, Sergey Kislyakov, Natan Kruglyak, Basel, Birkhäuser, 2013, 1 vol. (X-316 p.), Monografie matematyczne, 978-3-0348-0468-4 |
| Streszczenie: | 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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| Deskrypcja: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783034804691 |
| ISSN: | 2297-0274 |
| Ograniczenie dostępu: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |