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<p>We study gradient bounds and functional inequalities including (reverse) Poincaré inequality and (reverse) logarithmic Sobolev inequality for the iterated Kolmogorov diffusions. The method we adopt here is the generalized Bakry–Émery <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Gamma -\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Γ</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>calculus.</p>

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Gradient Bounds for Iterated Kolmogorov Diffusions

  • 期刊论文

  • 发表日期：

    2025年11月28日

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  • Bin Qian,
  • Beibei Zhang

摘要

We study gradient bounds and functional inequalities including (reverse) Poincaré inequality and (reverse) logarithmic Sobolev inequality for the iterated Kolmogorov diffusions. The method we adopt here is the generalized Bakry–Émery \(\Gamma -\) Γ - calculus.