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<p>In the present paper, we introduce two mean transforms and describe them in the context of the weighted composition operators. We also discuss various structural properties of these mean transforms and compare them with some known transforms, namely polar decomposition, Aluthge transform, Duggal transform, and mean transform.</p>

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ON MEAN TRANSFORMS OF WEIGHTED COMPOSITION OPERATORS

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Gopal Datt,
  • Neelima Ohri,
  • Hocine Guediri

摘要

In the present paper, we introduce two mean transforms and describe them in the context of the weighted composition operators. We also discuss various structural properties of these mean transforms and compare them with some known transforms, namely polar decomposition, Aluthge transform, Duggal transform, and mean transform.