1986Extracta MathematicaeOpen access

Hardy spaces of Banach-space-valued functions depending on the geometry of the Banach space

Oscar Blasco de la Cruz

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Abstract

The purpose of this note is to announce some results related to Hardy spaces of vector valued functions and to show that some properties on B have to be required if we want that the classical theorems to remain valid in the B-valued setting.

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What this paper is about

The purpose of this note is to announce some results related to Hardy spaces of vector valued functions and to show that some properties on B have to be required if we want that the classical theorems to remain valid in the B-valued setting.

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Available abstract

The purpose of this note is to announce some results related to Hardy spaces of vector valued functions and to show that some properties on B have to be required if we want that the classical theorems to remain valid in the B-valued setting.

Key concepts: Banach space, Mathematics, Interpolation space, Infinite-dimensional vector function, Banach manifold, Space (punctuation), Pure mathematics, Lp space

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