Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Usmanov, Salim E.; Ekincioglu, Ismail
- Contact information
- Usmanov, Salim E. : Samarkand State University named after Sharof Rashidov Samarkand, Uzbekistan; Kimyo International University in Tashkent Tashkent, Uzbekistan; OCRID: 0000-0002-2065-8788; Ekincioglu, Ismail : Istanbul Medeniyet University Istanbul, Turkey; OCRID: 0000-0002-5636-1214
- Keywords
- Maximal operator; averaging operator; fractional power series; singular surface; principal curvatures
- Abstract
Maximal operators associated with a class of singular parametrized surfaces in R3 are analyzed in the paper. Boundedness of such operators in Lebesgue Lp space for p > 2 is shown. It is also proved that at least one of the principal curvatures does not vanish at each regular point of these surfaces
- Pages
- 80–87
- EDN
- EMSCZU
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/157939
Journal of Siberian Federal University. Mathematics & Physics / Maximal Operators Associated with Singular Surfaces
Full text (.pdf)