Discrete Hardy Spaces Related to Powers of the Poisson Kernel
Journal article, 2013

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.

Author

Jonatan Vasilis

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Mathematica Scandinavica

0025-5521 (ISSN) 1903-1807 (eISSN)

Vol. 112 2 240-257

Subject Categories

Mathematics

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Created

10/7/2017