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Journal of Fourier Analysis and Applications

, Volume 17, Issue 4, pp 691–719 | Cite as

Real Interpolation of Generalized Besov-Hardy Spaces and Applications

  • Alexandre AlmeidaEmail author
  • António Caetano
Article

Abstract

In this paper we consider generalized Hardy spaces which include classical Hardy spaces and Hardy-Lorentz spaces as special cases. We give real interpolation results for such spaces. As applications, we solve an interpolation problem for Besov spaces of generalized smoothness and prove the boundedness of pseudodifferential operators acting both in these spaces and in the local Hardy spaces. For the latter spaces, we also obtain wavelet decompositions.

Keywords

Generalized Hardy spaces Maximal functions Interpolation Besov spaces Pseudodifferential operators Wavelet decompositions 

Mathematics Subject Classification (2000)

46E35 42C40 42B30 46M35 35S05 

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Departamento de MatemáticaUniversidade de AveiroAveiroPortugal

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