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Hausdorff operators associated with the Opdam--Cherednik transform in Lebesgue spaces

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 نشر من قبل Shyam Swarup Mondal
 تاريخ النشر 2021
  مجال البحث
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In this paper, we introduce the Hausdorff operator associated with the Opdam--Cherednik transform and study the boundedness of this operator in various Lebesgue spaces. In particular, we prove the boundedness of the Hausdorff operator in Lebesgue spaces, in grand Lebesgue spaces, and in quasi-Banach spaces that are associated with the Opdam--Cherednik transform. Also, we give necessary and sufficient conditions for the boundedness of the Hausdorff operator in these spaces.



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