PALEY'S INEQUALITY FOR THE JACOBI EXPANSIONS

PALEY'S INEQUALITY FOR THE JACOBI EXPANSIONS

Let F(z) = [sum ]∞n=0 anzn be an analytic function in the unit disc satisfying [formula here] Then [formula here], which is familiar as Paley's inequality. In this paper, an analogue of this inequality with respect to the Jacobi expansions is established.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2001-07, Vol.33 (4), p.483-491
Hauptverfasser: KANJIN, YUICHI, SATO, KUNIO
Format: Artikel
Sprache:eng
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Zusammenfassung:Let F(z) = [sum ]∞n=0 anzn be an analytic function in the unit disc satisfying [formula here] Then [formula here], which is familiar as Paley's inequality. In this paper, an analogue of this inequality with respect to the Jacobi expansions is established.
ISSN:0024-6093
1469-2120
DOI:10.1017/S0024609301008098