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<p>In this paper, we establish a dimension-free estimate for the semi-commutative discrete spherical maximal operator on <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_{p}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mi>p</mi> </msub> </math></EquationSource> </InlineEquation> spaces for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(2\le p\le \infty \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>≤</mo> <mi>p</mi> <mo>≤</mo> <mi>∞</mi> </mrow> </math></EquationSource> </InlineEquation>. This result extends the work of Mirek, Szarek, and Wróbel (Int. Math. Res. Not. no.2:901–963, 2024) to the operator-valued setting.</p>

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A dimension-free estimate for the semi-commutative discrete spherical maximal operator

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Yue Zhang

摘要

In this paper, we establish a dimension-free estimate for the semi-commutative discrete spherical maximal operator on \(L_{p}\) L p spaces for \(2\le p\le \infty \) 2 ≤ p ≤ ∞ . This result extends the work of Mirek, Szarek, and Wróbel (Int. Math. Res. Not. no.2:901–963, 2024) to the operator-valued setting.