Article

Maximal Averages over Singular Hypersurfaces

S. E. UsmanovKimyo International University in Tashkent, Tashkent, Uzbekistanİsmail EkincioğluIstanbul Medeniyet University, 34700, Istanbul, Turkey

Lobachevskii Journal of Mathematicsjournal2025en

ABI

Abstract

We consider maximal operators associated with a class of parameterized singular hypersurfaces in $$\mathbb{R}^{n+1},$$ showing boundedness of these operators in Lebesgue $$L^{p}$$ space for $$p>2$$ . Also, we prove that at least one of the principal curvatures is non-zero at each regular point of these hypersurfaces.

Topics

Holomorphic and Operator Theory Algebraic Geometry and Number Theory Algebraic and Geometric Analysis

Identifiers

DOI: 10.1134/s1995080225605235

Citations and references

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