Spline Wavelet Decomposition in Weighted Function Spaces
نویسندگان
چکیده
Battle-Lemarie wavelet systems of natural orders are established in the paper. The main result work is decomposition theorem Besov and Triebel-Lizorkin spaces with local Muckenhoupt weights, which performed terms bases generated by such a type. wavelets splines suit very well for study integration operators.
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولWavelet Decomposition of Calderon - Zygmund Operators on Function Spaces
We make use of the Beylkin-Coifman-Rokhlin wavelet decomposition algorithm on the CalderonZygmund kernel to obtain some fine estimates on the operator and prove the T(\) theorem on Besov and Triebel-Lizorkin spaces. This extends previous results of Frazier et at., and Han and Hofmann. 2000 Mathematics subject classification: primary 42B20, 46B30.
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ژورنال
عنوان ژورنال: Proceedings of the Steklov Institute of Mathematics
سال: 2021
ISSN: ['1531-8605', '0081-5438']
DOI: https://doi.org/10.1134/s008154382101020x