From Nörlund matrices to Laplace representations

Sinnamon, Gord

doi:10.1090/S0002-9939-99-05112-6

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.

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