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<p>We consider the Riesz transforms of arbitrary order associated with the twisted Laplacian with drift on <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41_2025_10172_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {C}^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation> and study their strong-type (<i>p</i>,&#xa0;<i>p</i>), <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41_2025_10172_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="83" /> </InlineMediaObject> <EquationSource Format="TEX">\(1&lt;p&lt;\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mo>&lt;</mo> <mi>p</mi> <mo>&lt;</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>, and weak-type (1,&#xa0;1) boundedness.</p>

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Riesz Transforms Associated with the Twisted Laplacian with Drift

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Nishta Garg,
  • Rahul Garg

摘要

We consider the Riesz transforms of arbitrary order associated with the twisted Laplacian with drift on \(\mathbb {C}^n\) C n and study their strong-type (p, p), \(1<p<\infty \) 1 < p < ∞ , and weak-type (1, 1) boundedness.