Scholarlink

<p>Let <i>X</i> be a compact subset of the complex plane and <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(x \in X\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>∈</mo> <mi>X</mi> </mrow> </math></EquationSource> </InlineEquation>. A necessary and sufficient condition is given in terms of Hausdorff contents for the existence of a bounded point derivation at <i>x</i> on the space of vanishing Campanato functions that are analytic in a neighborhood of <i>X</i>. This generalizes many known conditions for the existence of bounded point derivations on other function spaces.</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

Bounded point derivations on Campanato spaces

  • 期刊论文

  • 发表日期：

    2026年1月2日

查看全文
  • Evan Abshire,
  • Stephen Deterding

摘要

Let X be a compact subset of the complex plane and \(x \in X\) x ∈ X . A necessary and sufficient condition is given in terms of Hausdorff contents for the existence of a bounded point derivation at x on the space of vanishing Campanato functions that are analytic in a neighborhood of X. This generalizes many known conditions for the existence of bounded point derivations on other function spaces.