Atomic decompositions in Hardy spaces on bounded lipschitz domains

  • Klas Forsman
Contributed Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 1302)


The theory of Hardy spaces on Rn has been generalized to Hardy spaces of distributions f on certain closed subsets F of Rn. In this paper we present some new results for the case when F is bounded and the boundary is locally Lipschitzian.

Let f have its support contained in F. If a suitable maximal function of f belongs to Lp, then f belongs to the local Hardy space hp(F). Moreover, if f belongs to the standard Hardy space on Rn, then f has an atomic decomposition whose atoms are supported in F.


Hardy Space Maximal Function Atomic Decomposition Bound LIPSCHITZ Domain Markov Inequality 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Klas Forsman
    • 1
  1. 1.Department of MathematicsUniversity of UmeåUmeåSweden

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