Extrapolation and Optimal Decompositions : with Applications to Analysis

This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. c...

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Bibliografske podrobnosti
Glavni avtor: Milman, Mario, 1950-...., mathématicien
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in mathematics 1580
Teme:
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Sporočilo: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Extrapolation and optimal decompositions, with applications to analysis, Mario Milman, 1994, Berlin, Springer-Verlag, 1 vol. (XI-159 p.), Lecture notes in mathematics, 0-387-58081-6
• Extrapolation and Optimal Decompositions, Texte imprimé, 9783662172117
Opis
Izvleček:This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. The book also considers the role that optimal decompositions play in limiting inequalities incl. commutator estimates. Most of the results presented are new or have not appeared in book form before. A special feature of the book are the applications to other areas of analysis. Among them Sobolev imbedding theorems in different contexts including logarithmic Sobolev inequalities are obtained, commutator estimates are connected to the theory of comp. compactness, a connection with maximal regularity for abstract parabolic equations is shown, sharp estimates for maximal operators in classical Fourier analysis are derived.
Opis knjige/članka:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540484394 (PDF)
ISSN:1617-9692
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017