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Discrete Hardy Spaces Related to Powers of the Poisson Kernel

Jonatan Vasilis (Institutionen för matematiska vetenskaper, matematik)
Mathematica Scandinavica (0025-5521). Vol. 112 (2013), 2, p. 240-257.
[Artikel, refereegranskad vetenskaplig]

Discrete Hardy spaces H-alpha(1) (partial derivative T), related to powers alpha >= 1/2 of the Poisson kernels on boundaries partial derivative T of regular rooted trees, are studied. The spaces for alpha > 1/2 coincide with the ordinary atomic Hardy space on partial derivative T, which in turn is strictly smaller than H-1/2(1)(partial derivative T). The Orlicz space L log log L(partial derivative T) characterizes the positive and increasing functions in H-1/2(1)(partial derivative T), but there is no such characterization for general positive functions.

Denna post skapades 2013-08-20. Senast ändrad 2016-07-12.
CPL Pubid: 181853


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