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arXiv · 1911.05255

Spline wavelet decomposition in weighted function spaces

Elena P. Ushakova
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Abstract

Battle-Lemarie wavelet systems of natural orders are established in the paper. The main result of the work is decomposition theorem in Besov and Triebel-Lizorkin spaces with local Muckenhoupt weights, which is performed in terms of bases generated by the systems of such a type. Battle-Lemarie wavelets are splines and suit very well for the study of integration operators.

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BibTeXRIS

Elena P. Ushakova. 2019-11-13. Spline wavelet decomposition in weighted function spaces. https://doi.org/10.1134/s008154382101020x

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