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

共 15 条

[1] Reproducing kernel quaternionic pontryagin spaces
Alpay, D
Shapiro, M
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2004, 50 (04) : 431 - 476
[2] Alpay D., 2016, Operator theory: advances and applications, V256
[3] Realizations of Slice Hyperholomorphic Generalized Contractive and Positive Functions
Alpay, Daniel
Colombo, Fabrizio
Lewkowicz, Izchak
Sabadini, Irene
[J]. MILAN JOURNAL OF MATHEMATICS, 2015, 83 (01) : 91 - 144
[4] PONTRYAGIN-DE BRANGES-ROVNYAK SPACES OF SLICE HYPERHOLOMORPHIC FUNCTIONS
Alpay, Daniel
Colombo, Fabrizio
Sabadini, Irene
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2013, 121 : 87 - 125
[5] Schur Functions and Their Realizations in the Slice Hyperholomorphic Setting
Alpay, Daniel
Colombo, Fabrizio
Sabadini, Irene
[J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2012, 72 (02) : 253 - 289
[6] [Anonymous], 1968, HILBERT SPACE ENTIRE
[7] Colombo F., 2011, PROGR MATH, V289
[8] Further properties of the Bergman spaces of slice regular functions
Colombo, Fabrizio
Oscar Gonzalez-Cervantes, J.
Sabadini, Irene
[J]. ADVANCES IN GEOMETRY, 2015, 15 (04) : 469 - 484
[9] Dieudonne J, 1978, TREATISE ON ANAL, V6
[10] Duren P., 1970, THEORY SPACES

← 1 2 →