Two-weight norm inequality for multidimensional Hausdorff operator on Lebesgue spaces

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Bandaliyev R. A., Abdullayeva J. N., Alekperova I. T.

Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, vol.45, no.4, pp.30-38, 2025 (Scopus)

• Nəşrin Növü: Article / Article
• Cild: 45 Say: 4
• Nəşr tarixi: 2025
• jurnalın adı: Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
• Jurnalın baxıldığı indekslər: Scopus
• Səhifə sayı: pp.30-38
• Açar sözlər: boundedness, Multidimensional Hausdorff operator, two-weight norm inequality, weighted Lebesgue spaces
• Açıq Arxiv Kolleksiyası: Məqalə
• Adres: Bəli

Qısa məlumat

In this paper we give a sufficient condition for the boundedness of the multidimensional Hausdorff operator from one weighted Lebesgue spaces to anther weighted Lebesgue spaces to anther. Also,we get similar results for important operators of harmonic analysis which are special cases of the multidimensional Hausdorff operator. The results are illustrated by a number of corollaries.