Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (2)
- Authors
- Usmanov, Salim E.
- Contact information
- Usmanov, Salim E.: Samarkand State University named after Sh. Rashidov Samarkand, Uzbekistan;
- Keywords
- maximal operator; averaging operator; fractional power series; singular surface; boundedness indicator
- Abstract
Maximal operator associated with singular surfaces is considered in this paper. The boundedness of this operator in the space of summable functions is proved when singular surfaces are given by parametric equations. Boundedness index of the maximal operator is also found for these spaces
- Pages
- 265–274
- EDN
- UBLKLU
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/149929
Journal of Siberian Federal University. Mathematics & Physics / On Maximal Operators Associated with a Family of Singular Surfaces
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