Growth of H P functions in tubes

Richard D. Carmichael and Stephen P. Richters

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-9

Abstract:

Let C be an open convex cone in n dimensional real space R n such that C ¯ does not contain any entire straight line. We obtain a growth condition on functions in the Hardy spaces H P ( T C ) , 1 ≤ p ≤ ∞ , corresponding to the tube T C = R n + i C in n dimensional complex space ℂ n .

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:329079

DOI: 10.1155/S0161171281000306

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