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Article

The Boundedness of Maximal Operators Associated with Singular Surfaces

S. E. UsmanovSamarkand State University, 15 Universitetski blvd., 140104, Samarkand, Republic of Uzbekistan
Russian Mathematicsjournal2021en
ABI

Abstract

In this paper, we study maximal operators associated with some singular surfaces in the space $\mathbb{R}^{3}.$ We prove the boundedness of these operators in $L^{p}$ , when a surface is given by parametric equations.

Topics

Advanced Harmonic Analysis ResearchHolomorphic and Operator TheoryGeometric Analysis and Curvature Flows

Identifiers

DOI
10.3103/s1066369x21060086

Citations and references

Cited by 614 references
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