Lecture Notes in Mathematics

Morrey and Campanato Meet Besov, Lizorkin and Triebel

Authors: Yuan, Wen, Sickel, Winfried, YANG, Dachun

  • Establishes a new general framework unifying Besov-Triebel-Lizorkin spaces, Morrey spaces, Campanato spaces and Q spaces
  • Gives characterizations by atoms, molecules, wavelets, differences and oscillations in the key theorems
  • 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
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eBook $44.99
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  • ISBN 978-3-642-14606-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-14605-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 and Campanato spaces and the theory of Q spaces, the authors develop a unified framework for all of these spaces. As a byproduct, the authors provide a completion of the theory of Triebel-Lizorkin spaces when p = ∞.

Reviews

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)


Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-642-14606-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.95
price for USA
  • ISBN 978-3-642-14605-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Morrey and Campanato Meet Besov, Lizorkin and Triebel
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2005
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-14606-0
DOI
10.1007/978-3-642-14606-0
Softcover ISBN
978-3-642-14605-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 288
Topics