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<p>We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12220_2025_2128_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-compactness via a compact version of the <i>T</i>(1) theorem.</p>

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Symbolic Calculus for a Class of Pseudodifferential Operators with Applications to Compactness

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月5日

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  • Árpád Bényi,
  • Tadahiro Oh,
  • Rodolfo H. Torres

摘要

We prove a symbolic calculus for a class of pseudodifferential operators, and discuss its applications to \(L^2\) L 2 -compactness via a compact version of the T(1) theorem.