Tight wavelet frames in Lebesgue and Sobolev spaces
نویسندگان
چکیده
منابع مشابه
Tight wavelet frames in Lebesgue and Sobolev spaces by Lasse Borup , Rémi Gribonval and Morten Nielsen
We study tight wavelet frame systems in Lp(R), and prove that such systems (under mild hypotheses) give atomic decompositions of L p(R) for 1 < p < . We also characterize Lp(R) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best mterm approximation with the systems in Lp(R) and prove that such inequalities exist. Moreover, it is proved t...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2004
ISSN: 0972-6802
DOI: 10.1155/2004/792493