On slice hyperholomorphic fractional Hardy spaces

被引：1

作者：

Alpay, Daniel ^{[1
]}

Colombo, Fabrizio ^{[2
]}

Sabadini, Irene ^{[2
]}

机构：

[1] Chapman Univ, Schmid Coll Sci & Technol, Orange, CA 92866 USA

[2] Politecn Milan, Dipartimento Matemat, Via Bonardi 9, I-20133 Milan, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 17-18期

关键词：

Quaternionic fractional Hardy spaces; half space; unit ball;

D O I：

10.1002/mana.201700011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：2725 / 2739

页数：15