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Spline Wavelet Decomposition in Weighted Function Spaces
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-04-22 , DOI: 10.1134/s008154382101020x E. P. Ushakova
中文翻译:
加权函数空间中的样条小波分解
更新日期:2021-04-23
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-04-22 , DOI: 10.1134/s008154382101020x E. P. Ushakova
Abstract
We present Battle–Lemarié wavelet systems of natural orders. Our main result is a decomposition theorem in Besov and Triebel–Lizorkin spaces with local Muckenhoupt weights, which is formulated in terms of bases generated by systems of such a type. The Battle–Lemarié wavelets are splines and suit very well the study of integration operators.
中文翻译:
加权函数空间中的样条小波分解
摘要
我们介绍自然阶的Battle–Lemarié小波系统。我们的主要结果是在Besov和Triebel–Lizorkin空间中具有局部Muckenhoupt权重的分解定理,该定理是根据此类系统生成的基数来表示的。Battle–Lemarié小波是样条曲线,非常适合集成算子的研究。