Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (3)
- Authors
- Barakayev, Azamat M.
- Contact information
- Barakayev, Azamat M.: Samarkand State University Samarkand, Uzbekistan; azamat1_9@mail.ru
- Keywords
- maximal operator; Fourier transform; hypersurface; boundedness
- Abstract
The paper deals with boundedness problem for the maximal operators associated with hypersurfaces in the space of square integrable functions. A necessary condition for boundedness is given in the case of one nonvanishing principal curvature. A criterion for the boundedness is obtained for a particular class of convex hypersurfaces
- Pages
- 349–357
- EDN
- SMQNCR
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/150083
Journal of Siberian Federal University. Mathematics & Physics / On the Sharp Estimates for Maximal Operators
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