The Hardy space decomposition on multiangular domain

摘要

In this paper, we consider the problem of Hardy space decomposition on multiangular domain. By using rational approximation, we achieve that a function f in Lp( partial differential D sigma k) can be decomposed into a sum n-ary sumation k=12nf partial differential D sigma k in the sense of Lp( partial differential D sigma k), where f partial differential D sigma k are the boundary limits of functions in Hp(D sigma k).