Characterizations of Hardy-Orlicz and Bergman-Orlicz spaces

Author： Dubtsov E.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.141, Iss.5, 2007-03, pp. : 1531-1537

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Abstract

Let and τ denote the invariant gradient and invariant measure on the unit ball B of n, respectively. Assume that f is a holomorphic function on B and Φ ∈ C2(ℜ) is a nonnegative, nondecreasing, convex function. Then f belongs to the Hardy-Orlicz space H Φ(B>) if and only if Analogous characterizations of Bergman-Orlicz spaces are obtained. Bibliography: 9 titles.

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