Qp spaces for hyperholomorphic functions in the unit ball of R4

被引：0

作者：

Resendis Ocampo, Lino Feliciano ^{[1
,3
]}

Tovar, S. Luis Manuel ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana, Unidad Azcapotzalco, Area Anal Matematico & Sus Aplicac, Mexico City, Mexico

[2] Escuela Super Fis & Matemat IPN, Dept Matemat, Mexico City, Mexico

[3] Univ Autonoma Metropolitana, Unidad Azcapotzalco, CBI Apartado Postal 16-306, Mexico City 16, Mexico

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期

关键词：

bloch; Dirichlet; Q(p) quaternionic spaces;

D O I：

10.1002/mma.9111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the generalization of Dirichlet, Bloch, and Q(p) spaces for the case of hyperholomorphic functions defined in the unit open ball of R-4. We show the main relations among them, and we give an infinite family of examples of these spaces.

引用

页码：10203 / 10215

页数：13

共 50 条

[21] Bounded Projectors in Spaces of Functions Holomorphic in the Unit Ball
Petrosyan, A. I.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2011, 46 (05): : 264 - 272
[22] Some Spaces of Harmonic Functions in the Unit Ball of ℝn
A. I. Petrosyan
Lobachevskii Journal of Mathematics, 2019, 40 : 1132 - 1136
[23] Bounded projectors in spaces of functions holomorphic in the unit ball
A. I. Petrosyan
Journal of Contemporary Mathematical Analysis, 2011, 46 : 264 - 272
[24] Surfaces in R4 and their projections to 3-spaces
Nuno-Ballesteros, J. J.
Tari, F.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 1313 - 1328
[25] Qp and Mp norm in the unit ball of Cn
Chen, Zhi
BULLETIN DES SCIENCES MATHEMATIQUES, 2006, 130 (07): : 595 - 611
[26] Qp subharmonic classes in the unit ball of Rn
Resendis, L. F.
Tovar, L. M.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (7-8) : 867 - 884
[27] p-Carleson Measures in the Quaternionic Unit Ball with Applications to Slice Campanato and Qp Spaces
Yuan, Cheng
JOURNAL OF GEOMETRIC ANALYSIS, 2024, 34 (04)
[28] Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions
Castillo Villalba, C. Marco Polo
Colombo, Fabrizio
Gantner, Jonathan
Oscar Gonzalez-Cervantes, J.
COMPLEX ANALYSIS AND OPERATOR THEORY, 2015, 9 (02) : 479 - 517
[29] Composition Operators in Bloch Spaces of Slice Hyperholomorphic Functions
Sanjay Kumar
Khalid Manzoor
Pavinder Singh
Advances in Applied Clifford Algebras, 2017, 27 : 1459 - 1477
[30] Bloch, Besov and Dirichlet Spaces of Slice Hyperholomorphic Functions
C. Marco Polo Castillo Villalba
Fabrizio Colombo
Jonathan Gantner
J. Oscar González-Cervantes
Complex Analysis and Operator Theory, 2015, 9 : 479 - 517

← 1 2 3 4 5 →