-BMO duality on graphs
Tom 86 / 2000
Colloquium Mathematicum 86 (2000), 67-91
DOI: 10.4064/cm-86-1-67-91
Streszczenie
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.