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Volume 9, Issue 1, Article 16 |
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On the $L^1$ Norm of the Weighted Maximal Function of Fejér Kernels with Respect to the Walsh-Kaczmarz System
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Authors: |
Károly Nagy, |
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Keywords:
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Walsh-Kaczmarz system, Fejér kernels, Fejér means, Maximal operator. |
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Date Received:
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24/05/2007 |
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Date Accepted:
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15/02/2008 |
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Subject Codes: |
42C10.
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Editors: |
Zsolt Pales, |
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Abstract: |
The main aim of this paper is to investigate the integral of the weighted maximal function of the Walsh-Kaczmarz-Fejér kernels. We give a necessary and sufficient conditions for that the weighted maximal function of the Walsh-Kaczmarz-Fejér kernels is in  . After this we discuss the weighted maximal function of  kernels with respect to Walsh-Paley system too.
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