Scholarlink

<p>We characterize the Carleson measures <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>μ</mi> </math></EquationSource> </InlineEquation> on the unit disk for which the image of the Hardy space <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H^p\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mi>p</mi> </msup> </math></EquationSource> </InlineEquation> under the corresponding embedding operator is closed in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(L^p(\mu )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>L</mi> <mi>p</mi> </msup> <mrow> <mo stretchy="false">(</mo> <mi>μ</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. In fact, a more general result involving (<i>p</i>,&#xa0;<i>q</i>)-Carleson measures is obtained. A similar problem is solved in the setting of Bergman 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

Carleson-type embeddings with closed range

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年10月8日

查看全文
  • Konstantin M. Dyakonov

摘要

We characterize the Carleson measures \(\mu \) μ on the unit disk for which the image of the Hardy space \(H^p\) H p under the corresponding embedding operator is closed in \(L^p(\mu )\) L p ( μ ) . In fact, a more general result involving (p, q)-Carleson measures is obtained. A similar problem is solved in the setting of Bergman spaces.