Strang-Fix theory for approximation order in weightedLp-spaces and Herz spaces
نویسندگان
چکیده
منابع مشابه
Vector-valued Inequalities on Herz Spaces and Characterizations of Herz–sobolev Spaces with Variable Exponent
The origin of Herz spaces is the study of characterization of functions and multipliers on the classical Hardy spaces ([1, 8]). By virtue of many authors’ works Herz spaces have became one of the remarkable classes of function spaces in harmonic analysis now. One of the important problems on the spaces is boundedness of sublinear operators satisfying proper conditions. Hernández, Li, Lu and Yan...
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Then Strang and Fix conditions are recalled and proved. The Strang and Fix conditions caracterize the approximating properties of a shift invariant localized operator by its ability to reconstruct polynomials. In particular, it is used to relate the number of vanishing moments of a wavelet to the order of approximation provided by the corresponding multiresolution analysis. Article [1] is gener...
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ژورنال
عنوان ژورنال: Journal of Function Spaces and Applications
سال: 2006
ISSN: 0972-6802
DOI: 10.1155/2006/607497