论文标题
样条小波的正交系统作为Sobolev空间中的无条件基础
Orthogonal Systems of Spline Wavelets as Unconditional Bases in Sobolev Spaces
论文作者
论文摘要
我们展示了Sobolev空间中功能$ l^s_p $的必要范围，可以表示为正常样条小波系统系统的无条件总和，例如战斗 - 莱米列列小波。我们还考虑了Triebel-Lizorkin空间的自然扩展。这建立在Seeger和Ullrich的先前工作的基础上，并在其中建立了HAAR小波系统的类似结果。
We exhibit the necessary range for which functions in the Sobolev spaces $L^s_p$ can be represented as an unconditional sum of orthonormal spline wavelet systems, such as the Battle-Lemarié wavelets. We also consider the natural extensions to Triebel-Lizorkin spaces. This builds upon, and is a generalization of, previous work of Seeger and Ullrich, where analogous results were established for the Haar wavelet system.
