中文

Solving the Gleason problem on linearly convex domains

复变函数 2007-05-23 v1

摘要

Let V be a bounded, connected linearly convex set in C^n with C1+ϵC^{1+\epsilon}-boundary. We show that the maximal ideal (both in A(V) and H(V)H^{\infty}(V)) consisting of all functions vanishing at p in V is generated by the coordinate functions z_1 - p_1, ..., z_n - p_n.

引用

@article{arxiv.math/0106235,
  title  = {Solving the Gleason problem on linearly convex domains},
  author = {Oscar Lemmers and Jan Wiegerinck},
  journal= {arXiv preprint arXiv:math/0106235},
  year   = {2007}
}

备注

9 pages