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Cesàro averaging operators

Published online by Cambridge University Press:  14 November 2011

Krzysztof Stempak
Krzysztof Stempak
Affiliation:
Institute of Mathematics, University of Wroclaw, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland
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Abstract

We define a family of Cesàro operators , Reα≧0, and consider the question of their boundedness on Hp spaces. We also consider discrete versions of these operators acting on sequence spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 1 , 1994 , pp. 121 - 126
Copyright
Copyright © Royal Society of Edinburgh 1994

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