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<p>We obtain estimates for the norm of convolution operator in anisotropic grand Lorentz spaces. In these spaces, we prove O’Neil type inequalities and establish the boundedness of the logarithmic Riesz potential.</p>

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The O’Neil Inequality in Anisotropic Grand Lorentz Spaces

  • 期刊论文

  • 发表日期：

    2025年6月21日

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  • Nazerke Tleukhanova,
  • Makhpal Manarbek

摘要

We obtain estimates for the norm of convolution operator in anisotropic grand Lorentz spaces. In these spaces, we prove O’Neil type inequalities and establish the boundedness of the logarithmic Riesz potential.