On slice hyperholomorphic fractional Hardy spaces. Issue 17 (15th September 2017)

• Record Type: Journal Article
• Authors: Alpay, Daniel; Colombo, Fabrizio; Sabadini, Irene
• Is Part Of: Mathematische Nachrichten. Volume 290:Issue 17/18(2017)
• Page Start: 2725
• Page End: 2739
• Publication Date: 2017-09-15
• Subjects: Quaternionic fractional Hardy spaces -- half space -- unit ball -- 30H10 -- 30G35; Mathematics -- Periodicals; 510.5
• DOI: 10.1002/mana.201700011
• Languages: English
• ISSNs: 0025-584X

Abstract

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.