On Estimates for Maximal Operators Associated with Singular Surfaces

The paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in We investigate boundedness of these operators in the space of integrable functions with degree . Also, it is found the exact value of the boundedness exponent of maximal...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024-02, Vol.45 (2), p.875-882
Main Author: Usmanov, Salim
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators
Parametric equations
Probability Theory and Stochastic Processes
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Summary:The paper deals with boundedness problem for maximal operators associated with singular surfaces given by parametric equations in We investigate boundedness of these operators in the space of integrable functions with degree . Also, it is found the exact value of the boundedness exponent of maximal operators.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224600146