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ArticleOriginal scientific text

Title

H1-BMO duality on graphs

Authors 1

Affiliations

  1. Faculté des Sciences et Techniques de Saint-Jérôme, Laboratoire de Mathématiques Fondamentales et Appliquées, Case Cour A, 13397 Marseille Cedex 20, France

Abstract

On graphs satisfying the doubling property and the Poincaré inequality, we prove that the space H1_{max} is equal to Hat1, and therefore that its dual is BMO. We also prove the atomic decomposition for Hp_{max} for p ≤ 1 close enough to 1.

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Colloquium Mathematicum
2000/86/1
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Pages:
67-91
Main language of publication
English
Received
1998-10-30
Accepted
1999-08-30
Published
2000
Exact and natural sciences