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中文摘要：
一维2进低通滤波器在一维多分辨分析（MRA）小波的构造和拓扑性质研究中起到重要作用.对于高维小波,其生成要依赖于某个扩张矩阵,所以构造比较复杂.该文讨论由一致矩阵2I2（2002）生成的MRA小波的低通滤波器（称作2进双变量滤波器.利用2进双变量滤波器乘子完全刻画了2进双变量滤波器,并且证明了所有2进双变量滤波器集合在L^2（T^2）范数拓扑下是道路连通的结论.
英文摘要：
The low pass filters play important role in construction of wavelets with MRA. But construction of wavelets of MRA in high dimensional case is very complicate in view of their different dilation matrices. In this paper, we discuss the low pass filters of MRA multivariate wavelets with the uniform dilation matrix 2I2 = （2 0 0 2）（These filters are called dyadic bivariate filters）. We character dyadic bivariate filters by using dyadic bivariate filter multipliers and prove that the set of all dyadic bivariate low pass filters is path-connected under the norm L^2（T^2） topology.
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The boundedness of multilinear operators on generalized Morrey spaces over the quasi-metric space of
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