Morrey-Campanato spaces: An overview

Humberto Rafeiro, Natasha Samko, Stefan Samko

Research output: Chapter in Book/Report/Conference proceedingConference contribution

90 Citations (Scopus)

Abstract

In this paper we overview known and recently obtained results on Morrey-Campanato spaces with respect to the properties of the spaces themselves, that is, we do not touch the study of operators in these spaces. In particular, we overview equivalent definitions of various versions of the spaces, the so-called φ- and θ-generalizations, structure of the spaces, embeddings, dual spaces, etc.

Original languageEnglish
Title of host publicationOperator Theory, Pseudo-Differential Equations, and Mathematical Physics
EditorsYuri I. Karlovich, Luigi Rodino, Bernd Silbermann, Ilya M. Spitkovsky
PublisherSpringer International Publishing
Pages293-323
Number of pages31
ISBN (Print)9783034805360
DOIs
Publication statusPublished - 2013
Externally publishedYes
EventInternational workshop on Analysis, Operator Theory, and Mathematical Physics, 2012 - Ixtapa, Mexico
Duration: Jan 23 2012Jan 27 2012

Publication series

NameOperator Theory: Advances and Applications
Volume228
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

Conference

ConferenceInternational workshop on Analysis, Operator Theory, and Mathematical Physics, 2012
Country/TerritoryMexico
CityIxtapa
Period1/23/121/27/12

Keywords

  • Campanato spaces
  • Embeddings
  • Interpolation
  • Morrey spaces
  • Preduals
  • Variable exponents

ASJC Scopus subject areas

  • Analysis

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