莫比乌斯不变空间的内外函数与零点集问题

本项目将研究复平面单位圆盘上的一些莫比乌斯不变空间中的内外函数与零点集问题。具体包括，探索最小莫比乌斯不变空间中的内外函数的结构与零点集类；研究一类有调和分析与小波分析背景的莫比乌斯不变空间Q_log上的内函数与外函数的特征，并争取填补Q_log空间上零点集理论的空白。

In this proposal, we will study inner-outer functions and zero sets in some Mobius invariant spaces on the unit disk of the complex plane. We plan to investigate inner-outer functions and zero sets of the minimal Mobius invariant space. By the study of inner and outer functions in Mobius invariant Q_log space, which has background in Harmonic analysis and Wavelet analysis, we hope to characterize zero sets of Q_log space.