Complex Variables and Elliptic Equations, volume 51, issue 2, pages 119-136

Characterizations for Bloch space by B^{p, q}spaces in Clifford analysis

A. El-Sayed Ahmed ¹

K. Gürlebeck ²

L F Reséndis ³

Luis M Tovar S ⁴

Department of Mathematics , Faculty of Science , South Valley University , Sohag 82524, Egypt |

Bauhaus-Universität Weimar Institut für Mathematik und Physik , Coudray-Str. 13 B, D-99423 Weimar, Germany |

Universidad Autónoma Metropolitana , Unidad Azcapotzalco, C.B.I. Apartado Postal 16-306 C.P. 02200 México 16, D.F. Area de Análisis Matemático y sus Aplicaciones |

⁴

Escuela Superior de Física y Matemáticas del IPN Edif. 9, Unidad ALM, Zacatenco del IPN., C.P. 07300, D.F., México |

Publication type: Journal Article

Publication date: 2006-02-01

Taylor & Francis

Journal: Complex Variables and Elliptic Equations

scimago Q2

SJR: 0.445

CiteScore: 2.0

Impact factor: 0.6

ISSN: 17476933, 17476941

DOI: 10.1080/02781070500369123

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Computational Mathematics

Applied Mathematics

Analysis

Numerical Analysis

Abstract

In this article we give the definition of Bp, q spaces of hyperholomorphic functions. Then, we characterize hypercomplex Bloch space by these Bp, q spaces. One of the main results is a general Besov-type characterization for quaternionic Bloch functions that generalizes a Stroethoff theorem. Furthermore, some important basic properties of these Bp, q spaces are also considered.

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Symmetry	Symmetry, 3, 21.43% Symmetry 3 publications, 21.43%
Journal of Mathematics	Journal of Mathematics, 3, 21.43% Journal of Mathematics 3 publications, 21.43%
Advances in Applied Clifford Algebras	Advances in Applied Clifford Algebras, 2, 14.29% Advances in Applied Clifford Algebras 2 publications, 14.29%
Numerical Functional Analysis and Optimization	Numerical Functional Analysis and Optimization, 2, 14.29% Numerical Functional Analysis and Optimization 2 publications, 14.29%
Complex Analysis and Operator Theory	Complex Analysis and Operator Theory, 1, 7.14% Complex Analysis and Operator Theory 1 publication, 7.14%
Mathematical and Computer Modelling	Mathematical and Computer Modelling, 1, 7.14% Mathematical and Computer Modelling 1 publication, 7.14%
Complex Variables and Elliptic Equations	Complex Variables and Elliptic Equations, 1, 7.14% Complex Variables and Elliptic Equations 1 publication, 7.14%
Operator Theory: Advances and Applications	Operator Theory: Advances and Applications, 1, 7.14% Operator Theory: Advances and Applications 1 publication, 7.14%
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Springer Nature	Springer Nature, 4, 28.57% Springer Nature 4 publications, 28.57%
MDPI	MDPI, 3, 21.43% MDPI 3 publications, 21.43%
Taylor & Francis	Taylor & Francis, 3, 21.43% Taylor & Francis 3 publications, 21.43%
Hindawi Limited	Hindawi Limited, 3, 21.43% Hindawi Limited 3 publications, 21.43%
Elsevier	Elsevier, 1, 7.14% Elsevier 1 publication, 7.14%
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Publisher

Taylor & Francis

Journal

Complex Variables and Elliptic Equations

scimago Q2

SJR

0.445

CiteScore

2.0

Impact factor

0.6

ISSN

17476933 (Print)

17476941 (Electronic)

Characterizations for Bloch space by B^{p, q}spaces in Clifford analysis

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Characterizations for Bloch space by Bp, qspaces in Clifford analysis

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Characterizations for Bloch space by B^{p, q}spaces in Clifford analysis