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On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces

Rovshan A. Bandaliyev, K. H. Safarova

Tbilisi Mathematical Journal · 2020 · 13 citations · 8 references

DOI

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Abstract

In this paper the boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces is proved. In particular, necessary and sufficient condition for the boundedness of multidimensional Hausdorff operator are established in weighted Lebesgue spaces.

References

8

Multidimensional Hausdorff operators on the real Hardy space

Andrei K. Lerner, E. Liflyand · Journal of the Australian Mathematical Society · 2007 · 121 citations · Full text

, , +4

Hausdorff operators on function spaces

Jiecheng Chen, Dashan Fan, Jun Li · Chinese Annals of Mathematics Series B · 2012 · 93 citations

, , +5

Boundedness of the Hausdorff operators in H<sup>p</sup>spaces, 0&lt;p&lt;1

Elijah Liflyand, Akihiko Miyachi · Studia Mathematica · 2009 · 75 citations · Full text

, , +5

Hausdorff operators on Euclidean spaces

Jiecheng Chen, Dashan Fan, Silei Wang · Applied mathematics/Applied Mathematics. A Journal of Chinese Universities/Gao-xiao yingyong shuxue xuebao · 2013 · 72 citations

, , +8

On the consistency and equivalence of certain definitions of summability

Wallie Abraham Hurwitz, Louis Lazarus Silverman · Transactions of the American Mathematical Society · 1917 · 65 citations · Full text

, , +6