From Nörlund matrices to Laplace representations
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- by Gord Sinnamon PDF
- Proc. Amer. Math. Soc. 128 (2000), 1055-1062 Request permission
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.References
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Additional Information
- Gord Sinnamon
- Affiliation: Department of Mathematics, University of Western Ontario, London, Ontario, Canada N6A 5B7
- MR Author ID: 163045
- Email: sinnamon@uwo.ca
- Received by editor(s): May 18, 1998
- Published electronically: 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 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1055-1062
- MSC (1991): Primary 42A38; Secondary 40G05
- DOI: https://doi.org/10.1090/S0002-9939-99-05112-6
- MathSciNet review: 1637428