English

Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball

Functional Analysis 2015-01-09 v2 Complex Variables

Abstract

We establish weak factorizations for a weighted Bergman space A\apA^p_{\a}, with 1<p<1<p<\infty, into two weighted Bergman spaces on the unit ball of \Cn\C^n. To obtain this result, we characterize bounded Hankel forms on weighted Bergman spaces on the unit ball of \Cn\C^n.

Keywords

Cite

@article{arxiv.1407.4632,
  title  = {Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball},
  author = {Jordi Pau and Ruhan Zhao},
  journal= {arXiv preprint arXiv:1407.4632},
  year   = {2015}
}

Comments

v2; Updated version, to appear in Math Annalen

R2 v1 2026-06-22T05:06:29.502Z