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<p>In this paper, we consider the boundedness of Gegenbauer fractional maximal commutator <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\( M_{G}^{b,\alpha } \)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>M</mi> <mrow> <mi>G</mi> </mrow> <mrow> <mi>b</mi> <mo>,</mo> <mi>α</mi> </mrow> </msubsup> </math></EquationSource> </InlineEquation> on Gegenbauer-Orlicz (G-Orlicz) spaces when <i>b</i> belongs to the Gegenbauer-Lipschitz (G-Lipschitz) space.</p>

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CHARACTERIZATION OF G-LIPSCHITZ SPACES VIA COMMUTATORS OF THE GEGENBAUER MAXIMAL FUNCTION IN G-ORLICZ SPACES

  • 期刊论文

  • 发表日期：

    2026年3月6日

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  • Elman J. Ibrahimov,
  • Alexander Meskhi,
  • Saadat Ar. Jafarova

摘要

In this paper, we consider the boundedness of Gegenbauer fractional maximal commutator \( M_{G}^{b,\alpha } \) M G b , α on Gegenbauer-Orlicz (G-Orlicz) spaces when b belongs to the Gegenbauer-Lipschitz (G-Lipschitz) space.