$H^1$-BMO duality on graphs
Volume 86 / 2000
Colloquium Mathematicum 86 (2000), 67-91
DOI: 10.4064/cm-86-1-67-91
Abstract
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.
