ID | 47199 |
FullText URL | |
Author |
Sato, Ryotaro
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Abstract | We continue to study relations among exponential and polynomial growth orders of the γ-th order Cesàro means (γ≥0) and of the Abel mean for a Banach-space-valued function u on the interval [0,∞). We have already studied the problem for a continuous function u. Now we assume that u is a locally integrable function in a Banach space or an improperly locally integrable positive function in a Banach lattice.
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Keywords | Cesàro mean
Abel mean
exponential growth order
polynomial growth order
locally integrable function
improperly locally integrable function
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Published Date | 2012-01
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Publication Title |
Mathematical Journal of Okayama University
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Volume | volume54
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Issue | issue1
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Publisher | Department of Mathematics, Faculty of Science, Okayama University
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Start Page | 145
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End Page | 211
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ISSN | 0030-1566
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NCID | AA00723502
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Content Type |
Journal Article
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language |
English
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Copyright Holders | Copyright©2012 by the Editorial Board of Mathematical Journal of Okayama University
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File Version | publisher
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Refereed |
True
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Submission Path | mjou/vol54/iss1/10
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JaLCDOI |