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<p>We consider the Grushin operator with drift which is symmetric with respect to a measure having exponential growth. For the corresponding Riesz transforms, we study strong-type (<i>p</i>,&#xa0;<i>p</i>), <InlineEquation ID="IEq1"> <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 Grushin Operator with Drift

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Nishta Garg,
  • Rahul Garg

摘要

We consider the Grushin operator with drift which is symmetric with respect to a measure having exponential growth. For the corresponding Riesz transforms, we study strong-type (p, p), \(1< p < \infty \) 1 < p < ∞ , and weak-type (1, 1) boundedness.