Discrete Hardy Spaces Related to Powers of the Poisson Kernel

Autores: Jonatan Vasilis
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 112, Nº 2, 2013, págs. 240-257
Idioma: inglés
DOI: 10.7146/math.scand.a-15243
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Resumen
- 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.