Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-29T05:52:10.412Z Has data issue: false hasContentIssue false
  • English
  • Français

PALEY'S INEQUALITY FOR THE JACOBI EXPANSIONS

Published online by Cambridge University Press:  25 July 2001

YUICHI KANJIN  and
KUNIO SATO
YUICHI KANJIN
Affiliation:
Department of Mathematics, General Education Hall, Kanazawa University, Kanazawa 920-1192, Japan; [email protected]
KUNIO SATO
Affiliation:
Department of Basic Technology, Faculty of Engineering, Yamagata University, Yonezawa 992-8510, Japan; [email protected]
Get access

Abstract

Let F(z) = [sum ]∞n=0anzn 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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 4 , July 2001 , pp. 483 - 491
Copyright
© The London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)