Abstract
After 2000, interest in the Hausdorff operators grew, first in the sense of the variety of spaces on which these operators were considered. Here we give conditions ensuring the boundedness of such operators on Morrey-type spaces. The sharpness of the obtained results is studied, and classes of the Hausdorff operators are described for which the necessary and sufficient conditions coincide.
| Original language | English |
|---|---|
| Pages (from-to) | 93-106 |
| Number of pages | 14 |
| Journal | Kyoto Journal of Mathematics |
| Volume | 60 |
| Issue number | 1 |
| DOIs | |
| State | Published - Apr 2020 |
Bibliographical note
Publisher Copyright:© 2020 by Kyoto University.
Funding
This paper has been prepared with the support of the Peoples’ Friendship University of Russia Program 5-100. The research of V. Burenkov (Section 3) was supported by the Russian Science Foundation (project no. 19-11-00087) and was carried out in the V. A. Steklov Mathematical Institute of the Russian Academy of Sciences.
| Funders | Funder number |
|---|---|
| Russian Academy of Sciences | |
| Russian Science Foundation | 19-11-00087 |