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Closure of Hardy spaces in the Bloch space

2015; Elsevier BV; Volume: 429; Issue: 2 Linguagem: Inglês

10.1016/j.jmaa.2015.04.075

1096-0813

Πέτρος Γαλανόπουλος, Nacho Monreal Galán, Jordi Pau,

Algebraic and Geometric Analysis

A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space Hp of the unit ball of Cn for 0<p<∞ is given. When 0<p≤1, the result is new even in the case of the unit disk.