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Morrey空间的小波表示

Wavelet Characterization of Morrey Spaces
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摘要 许多常用的函数空间(如Lp(Rn))都有小波刻划,但Morrey空间Lp,δ(Rn)(1<p<∞,0<δ<n)却没有相应的小波刻划。利用多维Daubechies小波,给出了Morrey空间的一个小波刻划。 Many classical functional spaces ( such as L^p ( R^n) ) can be characterized by wavelet. But Morrey spaces Lp,δ ( R^n) ( 1 〈 p 〈∞ , 0 〈 δ 〈 n ) have not the corresponding characterization by means of wavelet. In this paper, a wavelet characterization of Morrey spaces is given, by using Daubechies's wavelet.
作者 周传喜 宋亮
出处 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第2期11-13,19,共4页 Acta Scientiarum Naturalium Universitatis Sunyatseni
基金 国家自然科学基金资助项目(10571182) 中山大学青年教师科研启动基金资助项目(37) 教育部博士点新教师基金
关键词 MORREY空间 DAUBECHIES小波 小波刻划 Morrey spaces Daubechies's wavelet characterization of wavelet
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参考文献12

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