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Factorization of some Hardy-type spaces of holomorphic functions

Abstract : We prove that the pointwise product of two holomorphic functions of the upper half-plane, one in the Hardy space H-1,H-, the other one in its dual, belongs to a Hardy-type space. Conversely, every holomorphic function in this space can be written as such a product. This generalizes a previous characterization in the context of the unit disc. (C) 2014 Published by Elsevier Masson SAS on behalf of Academie des sciences.
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Submitted on : Tuesday, April 28, 2015 - 12:19:38 PM
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Aline Bonami, Luong Dang Ky. Factorization of some Hardy-type spaces of holomorphic functions. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2014, 352, pp.817--821. ⟨10.1016/j.crma.2014.09.004⟩. ⟨hal-01146387⟩



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