Scholarlink

<p>We sharpen the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_p\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation>–<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(L_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> comparison inequalities for <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(p \ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> with best constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).</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

Khinchin inequalities for uniforms on spheres with a deficit

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年5月7日

查看全文
  • Jacek Jakimiuk,
  • Colin Tang,
  • Tomasz Tkocz

摘要

We sharpen the \(L_p\) L p – \(L_2\) L 2 comparison inequalities for \(p \ge 2\) p ≥ 2 with best constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).