Article

On the Boundedness Problem of Maximal Operators

S. E. UsmanovSamarkand State University named after Sh. Rashidov, 140104, Samarkand, Republic of Uzbekistan

Russian Mathematicsjournal2022en

ABI

Abstract

In this paper, we consider maximal operators associated with singular surfaces in space $${{\mathbb{R}}^{3}}$$ . A theorem on the boundedness of these operators in space Lp when the singular surface is given by parametric equations is proved.

Topics

Advanced Harmonic Analysis Research Holomorphic and Operator Theory Algebraic and Geometric Analysis

Identifiers

DOI: 10.3103/s1066369x22040077

Citations and references

Cited by 5 17 references

Metrics — AkademScholar · Coming soon