Morrey and Campanato Meet Besov, Lizorkin and Triebel: Lecture Notes in Mathematics, cartea 2005
Autor Wen Yuan, Winfried Sickel, Dachun Yangen Limba Engleză Paperback – 18 sep 2010
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Specificații
ISBN-13: 9783642146053
ISBN-10: 3642146058
Pagini: 288
Ilustrații: XII, 288 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.43 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3642146058
Pagini: 288
Ilustrații: XII, 288 p.
Dimensiuni: 155 x 235 x 20 mm
Greutate: 0.43 kg
Ediția:2010
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
The Spaces and
Recenzii
From the reviews:
“Besov spaces and Triebel-Lizorkin spaces are frequently used in various kinds of problems in analysis. The aim of this book is to provide a framework which includes all such spaces. … the book is well presented, with an impressive level of generality and a well-conducted quest for exhaustivity, though it also refers to some other papers. Also, not only the function spaces treated in the book but also other related function spaces promise progress in the near future, thanks to this book.” (Yoshihiro Sawano, Mathematical Reviews, Issue 2011 j)
“The present book develops the theory of the spaces … incorporating nearby other spaces such as BMO and some applications to pseudodifferential operators. This book may serve as a starting point for further research in this direction.” (Hans Triebel, Zentralblatt MATH, Vol. 1207, 2011)
“Besov spaces and Triebel-Lizorkin spaces are frequently used in various kinds of problems in analysis. The aim of this book is to provide a framework which includes all such spaces. … the book is well presented, with an impressive level of generality and a well-conducted quest for exhaustivity, though it also refers to some other papers. Also, not only the function spaces treated in the book but also other related function spaces promise progress in the near future, thanks to this book.” (Yoshihiro Sawano, Mathematical Reviews, Issue 2011 j)
“The present book develops the theory of the spaces … incorporating nearby other spaces such as BMO and some applications to pseudodifferential operators. This book may serve as a starting point for further research in this direction.” (Hans Triebel, Zentralblatt MATH, Vol. 1207, 2011)
Textul de pe ultima copertă
During the last 60 years the theory of function spaces has been a subject of growing interest and increasing diversity. Based on three formally different developments,namely, the theory of Besov and Triebel-Lizorkin spaces, the theory of Morrey andCampanato spaces and the theory of Q spaces, the authors develop a unified frameworkfor all of these spaces. As a byproduct, the authors provide a completion of thetheory of Triebel-Lizorkin spaces when p = ∞.
Caracteristici
A new general framework unifying Besov-Triebel-Lizorkin spaces, Morrey spaces, Campanato spaces and Q spaces is established In the key theorems characterizations by atoms, molecules, wavelets, differences and oscillations are given Special cases of these new scales (namely Besov-Triebel-Lizorkin spaces built on Morrey spaces) have been shown to be useful in the study of Navier-Stokes equations Includes supplementary material: sn.pub/extras