On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces

R. A. Bandaliyev, K. H. Safarova

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. 

Tbilisi Mathematical Journal, Vol. 13(1) (2020), pp. 39-45