RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 6, Pages 84–94 (Mi ivm9688)

This article is cited in 7 papers

The boundedness of maximal operators associated with singular surfaces

S. E. Usmanov

Samarkand State University, 15 Universitetski blvd., Samarkand, 140104 Republik of Uzbekistan

Abstract: In this paper it is investigated maximal operators associated with some singular surfaces in $\mathbb{R}^{3}.$ It is proved boundedness of these operators in $L^{p}$, when a surface is given by parametric equations.

Keywords: maximal operator, averaging operator, fractional power series, regular point, singular surface.

UDC: 517.946

Received: 28.05.2020
Revised: 31.07.2020
Accepted: 01.10.2020

DOI: 10.26907/0021-3446-2021-6-84-94


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:6, 73–83


© Steklov Math. Inst. of RAS, 2025