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On non-isotropic homogeneous Lipschitz spaces

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  09 April 2009

Stefano Meda
Stefano Meda
Affiliation:
Departmento di Matematica, dell 'Università di Trento58050 Povo (TN), Italy
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Abstract

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We prove that in a non-isotropic Euclidean space, homogeneous Lipschitz spaces of distributions, defined in terms of (generalized) Weierstrass integrals, can be characterized by means of higher order difference operators.

Keywords

Lipschitz spaceshigher order differencesWeierstrass kernel.

MSC classification

Secondary: 42B99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 47 , Issue 2 , October 1989 , pp. 240 - 255
Copyright
Copyright © Australian Mathematical Society 1989

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