Two-weight norm inequality for multidimensional Hausdorff operator on Lebesgue spaces
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences, vol.45, no.4, pp.30-38, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 45 Issue: 4
- Publication Date: 2025
- Journal Name: Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.30-38
- Keywords: boundedness, Multidimensional Hausdorff operator, two-weight norm inequality, weighted Lebesgue spaces
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
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.