Paley's Inequality for the Jacobi Expansions |
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| Authors: | Kanjin Yuichi; Sato Kunio |
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| Institution: | Department of Mathematics, General Education Hall, Kanazawa University Kanazawa 920-1192, Japan; kanjin{at}kenroku.kanazawa-u.ac.jp
Department of Basic Technology, Faculty of Engineering, Yamagata University Yonezawa 992-8510, Japan; tj194{at}dipfr.dip.yz.yamagata-u.ac.jp |
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| Abstract: | Let  be an analytic function in the unit disc satisfying
 Then , which is familiar as Paley's inequality. In this paper, an analogue of this inequality withrespect to the Jacobi expansions is established. |
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| Keywords: | |
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