$H^1$-BMO duality on graphs

• Autorzy: Emmanuel Russ
• Języki publikacji: EN

Abstrakty

EN

On graphs satisfying the doubling property and the Poincaré inequality, we prove that the space $H^{1}_{max}$ is equal to $H_{at}^{1}$, and therefore that its dual is BMO. We also prove the atomic decomposition for $H^{p}_{max}$ for p ≤ 1 close enough to 1.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 86
• Numer: 1
• Strony: 67-91

Daty

wydano

2000

otrzymano

1998-10-30

poprawiono

1999-08-30

Twórcy

autor

Emmanuel Russ

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

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