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On slice hyperholomorphic fractional Hardy spaces

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In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties… Click to show full abstract

In this paper we introduce and study the fractional Hardy spaces of the half space and of the unit ball in the quaternionic setting. In particular, we discuss their properties of invariance and of factorization in terms of functions in the Hardy space of the half space in the first case, and in terms of a suitable reproducing kernel Hilbert space in the case of the unit ball.

Keywords: space; fractional hardy; slice hyperholomorphic; hardy spaces; hyperholomorphic fractional

Journal Title: Mathematische Nachrichten
Year Published: 2017

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