Lipshitz带形区域上的Hardy空间

摘要

对Lipshitz带形区域Ωa上的Hardy空间Ηp(Ωa)(0<+∞SymboleB@_),证明了Ηp(Ωa)的完备性,对解析函数f∈Ηp(Ωa)(0<+∞SymboleB@_)在边界点的非切向极限f*的存在性和f 能由边界函数f*的Cauchy积分表示也给出了证明.%For Hardy space Ηp(Ωa)(0<+∞SymboleB@_) of the Lipshitz strip domain Ωa,the completeness,the existence of the nontangential limit f* of the function f(z) in Ηp(Ωa) is proved.And it is shown that the function f(z) in Ηp(Ωa) can be represented by the Cauchy integral of its boundary value f*of class.