On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces

Rovshan A. Bandaliyev; Kamala H. Safarova

doi:10.32513/tbilisi/1585015218

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.

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Rovshan A. Bandaliyev. Kamala H. Safarova. "On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces." Tbilisi Math. J. 13 (1) 39 - 45, January 2020. https://doi.org/10.32513/tbilisi/1585015218

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Received: 7 September 2019; Accepted: 7 December 2019; Published: January 2020

First available in Project Euclid: 24 March 2020

zbMATH: 07200150

MathSciNet: MR4079448

Digital Object Identifier: 10.32513/tbilisi/1585015218

Subjects:

Primary: 46E30

Secondary: 46E35

Keywords: boundedness , Hausdorff operator , weighted Lebesgue spaces

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