Proceedings of the American Mathematical Society

Author(s): Gord Sinnamon
Journal: Proc. Amer. Math. Soc. 128 (2000), 1055-1062.
MSC (1991): Primary 42A38; Secondary 40G05
Posted: July 28, 1999
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Abstract: The existence of Laplace representations for functions in weighted Hardy spaces on the right half plane is established. The method uses an extension of an inequality involving Nörlund matrices and corresponding convolution operators on the line. Analogous inequalities are proved for power series representations of functions in weighted Hardy spaces on the disc.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42A38, 40G05

Gord Sinnamon
Affiliation: Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
Email: sinnamon@uwo.ca

DOI: 10.1090/S0002-9939-99-05112-6
PII: S 0002-9939(99)05112-6
Keywords: N\"{o}rlund matrix, Laplace representation, Fourier inequality, Hardy space, weight
Received by editor(s): May 18, 1998
Posted: July 28, 1999
Additional Notes: Support from the Natural Sciences and Engineering Research Council of Canada is gratefully acknowledged
Communicated by: Christopher D. Sogge
Copyright of article: Copyright 2000, American Mathematical Society

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