Resumen de Discrete Hardy Spaces Related to Powers of the Poisson Kernel

Jonatan Vasilis

• Discrete Hardy spaces H1α(∂T), related to powers α≥1/2 of the Poisson kernels on boundaries ∂T of regular rooted trees, are studied. The spaces for α>1/2 coincide with the ordinary atomic Hardy space on ∂T, which in turn is strictly smaller than H11/2(∂T). The Orlicz space LloglogL(∂T) characterizes the positive and increasing functions in H11/2(∂T), but there is no such characterization for general positive functions.