Bulletin of the Australian Mathematical Society, volume 64, issue 1, pages 33-50

On strict inclusions of weighted dirichlet spaces of monogenic functions

K. Gürlebeck ¹

H R Malonek ¹

Bauhaus-Universität Weimar Insitute für Mathematik/Physik, Coudray-Str. 13, D-99423 Weimar, GermanyUniversidade de Aveiro, Departamento de Matemática, Campus Universiário de Santiago, P-3810–193 Aveiro, Portugal |

Publication type: Journal Article

Publication date: 2001-08-01

Cambridge University Press

Journal: Bulletin of the Australian Mathematical Society

scimago Q2

SJR: 0.392

CiteScore: 1.2

Impact factor: 0.6

ISSN: 00049727, 17551633

DOI: 10.1017/s0004972700019663

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General Mathematics

Abstract

We consider a scale of weighted spaces a quaternion-valued functions of three real variables. This scale generalises the idea of Q_p-spaces in complex function theory. The goal of this paper is to prove that the inclusions of spaces from the scale are strict inclusion. As a tool we prove some properties of special monogenic polynomials which have an importance in their own right independently of their use in the scale of Q_p-spaces.

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Publisher

Cambridge University Press

Journal

Bulletin of the Australian Mathematical Society

scimago Q2

SJR

0.392

CiteScore

1.2

Impact factor

0.6

ISSN

00049727 (Print)

17551633 (Electronic)

On strict inclusions of weighted dirichlet spaces of monogenic functions

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