rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Theory of function spaces II
  title info:
    title: Theory of function spaces 2
  name:
    name part: Triebel, Hans.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 1992
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: preservation
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 370 pages)
  abstract: Theory of Function Spaces II deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales of spaces cover many well-known function spaces such as Hlder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are closely connected with Morrey-Campanato spaces. Theory of Function Spaces II is self-contained, although it may be considered an update of the authors earlier book of the same title. The books 7 chapters start with a historical survey of the subject, and then analyze the theory of function spaces in Rn and in domains, applications to (exotic) pseudo-differential operators, and function spaces on Riemannian manifolds. ------ Reviews The first chapter deserves special attention. This chapter is both an outstanding historical survey of function spaces treated in the book and a remarkable survey of rather different techniques developed in the last 50 years. It is shown that all these apparently different methods are only different ways of characterizing the same classes of functions. The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH.
  table of contents: How To Measure Smoothness -- The Spaces and :Definit -- Atoms, Oscillations, and Distinguished Representations -- Key Theorems -- Spaces on Domains -- Mapping Properties of Pseudodifferential Operators -- Spaces on Riemannian Manifolds and Lie Groups.
  note: Hans Triebel.
  note: Electronic resource.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages [347]-366) and index.
  subject:
    topic: Fourier analysis
  subject:
    topic: Function spaces
  subject:
    topic: Fourier, Analyse de
  subject:
    topic: Espaces fonctionnels
  subject:
    topic: Funktionalraum
  subject:
    topic: Fourier analysis
  subject:
    topic: Function spaces
  classification: QA403.5 .T75 1992
  classification: 515/.2433
  related item:
    identifier: (DLC) 91044066
    identifier: (OCoLC)24952377
  related item:
    title info:
      title: Monographs in mathematics ; v. 84
  identifier: 9783034604192 (electronic bk.)
  identifier: 303460419X (electronic bk.)
  identifier: 9783034604185
  identifier: 0817626395 (alk. paper)
  identifier: 9780817626396 (alk. paper)
  identifier: 3764326395
  identifier: 9783764326395
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 110203
    record change date: 20260422200822.0
    record identifier: in00003514845
    language of cataloging:
      language term: eng