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Maximal Functions at Infinity for Poisson Integrals on N A

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Harmonic Analysis and Discrete Potential Theory

Abstract

Let G be a Lie group, || · || a euclidean norm in the Lie algebra of G and || x || the corresponding riemannian distance of x to the identity in G. We say that a function f on G satisfies the right Hölder condition, if

$$\int {|f(xh) - f(x)|} dx \leqslant C||h|{|^\alpha },\alpha > 0.$$
(1.1)

.

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© 1992 Springer Science+Business Media New York

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Hulanicki, A. (1992). Maximal Functions at Infinity for Poisson Integrals on N A . In: Picardello, M.A. (eds) Harmonic Analysis and Discrete Potential Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2323-3_2

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  • DOI: https://doi.org/10.1007/978-1-4899-2323-3_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2325-7

  • Online ISBN: 978-1-4899-2323-3

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