Article

On Maximal Operators Associated with Singular Hypersurfaces

S. E. UsmanovSh. Rashidov Samarkand State University, 140104, Samarkand, Uzbekistan

Russian Mathematicsjournal2024en

ABI

Abstract

Maximal operators associated with singular hypersurfaces in multidimensional Euclidean spaces are considered. These operators have been proven to be bounded, and an exponent of boundedness in the space of integrable functions has been found for the case when hypersurfaces are given by parametric equations.

Topics

Holomorphic and Operator Theory Geometric Analysis and Curvature Flows Advanced Harmonic Analysis Research

Identifiers

DOI: 10.3103/s1066369x24700051

Citations and references

Cited by 1 14 references

Metrics — AkademScholar · Coming soon