Scholarlink

<p>Let Ω ⊂ ℂ<sup><i>n</i></sup> be a bounded domain covered by the polydisc <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb{D}^{n}\)</EquationSource> <EquationSource Format="MATHML"><math display="block"> <msup> <mrow> <mi mathvariant="double-struck">D</mi> </mrow> <mrow> <mi>n</mi> </mrow> </msup> </math></EquationSource> </InlineEquation> through a proper holomorphic mapping Φ. In this paper, we study the <i>L</i><sup><i>p</i></sup> regularity and give the <i>L</i><sup><i>p</i></sup>-norm estimate for the Bergman projection of Ω. As applications, we obtain the upper bounds of <i>L</i><sup><i>p</i></sup>-norm for the Bergman projections on the symmetrized polydisc and monomial polyhedra.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Lp regularity of the Bergman projections on a class of bounded domains

  • 期刊论文

  • 发表日期：

    2026年8月5日

查看全文
  • Chuan Qin,
  • Maofa Wang,
  • Shuo Zhang

摘要

Let Ω ⊂ ℂn be a bounded domain covered by the polydisc \(\mathbb{D}^{n}\) D n through a proper holomorphic mapping Φ. In this paper, we study the Lp regularity and give the Lp-norm estimate for the Bergman projection of Ω. As applications, we obtain the upper bounds of Lp-norm for the Bergman projections on the symmetrized polydisc and monomial polyhedra.