摘要把H lder函数类推广到两个上半平面域拓扑积的特征流形上,并在此流形上引入算子PkQk(k=1,2)和一组复合奇性算子T2,给出了两个上半平面域拓扑积的特征流形上的B-调和函数的等价条件,并利用该等价条件讨论了两个上半平面域拓扑积域上的两个古典边值问题(D irichlet问题和Neum ann
Abstract:In this article,we expand the class of Hlder functions to the characteristic manifolds of Topological Product of two half-planes,and introduce the operators Pk,Qk(k=1,2) and a group of the singular operator T2 on this manifolds,and give the equivalent