On the infinitesimal generator of the Poisson operator
Published online by Cambridge University Press: 24 October 2008
Extract
Throughout this paper we shall denote the space Lp(− ∞, ∞) by Lp, and the numbers p and p′ will be related by 1/p + 1/p′ = 1.
The Poisson operator Pa is defined by
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 713 - 718
- Copyright
- Copyright © Cambridge Philosophical Society 1966
References
REFERENCES
(1)Hille, E.On the generation of semi-groups and the theory of conjugate functions. Proc. R. Physiogr. Soc. Lund 21, 14 (1951), 130–142.Google Scholar
(2)Pollard, H.The semi-group property of Poisson transformation and Snow's inversion formula. Proc. American Math. Soc. 14 (1963), 285–290.Google Scholar
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