Journal of Siberian Federal University. Mathematics & Physics / On the Boundedness of Maximal Operators Associated with Singular Surfaces

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (4)
Authors
Usmanov, Salim E.
Contact information
Usmanov, Salim E.: Samarkand State University named after Sh. Rashidov Samarkand, Uzbekistan; OCRID: 0000-0002-2065-8788
Keywords
maximal operator; averaging operator; fractional power series; nonsingular point; critical exponent
Abstract

The paper is devoted to investigate maximal operators associated with singular surfaces. It is proved the boundedness of these operators in the space Lp; when singular surfaces are given by parametric equations in R3

Pages
455–463
EDN
AVGDOC
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/153005