| Convergence of Wavelet Expansions in the Orlicz Space |
| Received:October 10, 2009 Revised:May 28, 2010 |
| Key Words:
pointwise convergence wavelet Orlicz spaces.
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| Fund Project:Supported by the Grant from Chongqing Education Commission (Grant No.KJ061201). |
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| Abstract: |
| In this paper we study the convergence in norm and pointwise convergence of wavelet expansion in the Orlicz spaces, and prove that, under certain conditions on the wavelet, the wavelet expansion converges in the Orlicz-norm and also converges almost everywhere. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2011.03.019 |
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