ESTIMATES FOR OSCILLATORY INTEGRALS WITH PHASE HAVING D TYPE SINGULARITIES

In this paper, we consider estimates for two-dimensional oscillatory integrals. The phase function of oscillatory integrals is a linear perturbation of a function with D -type singularities. We consider estimates for oscillatory integrals using the maximal functions of the Randol type. Sharp L loc p...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.280 (5), p.840-863
Main Authors: Akramov, Ibrohimbek I., Ikromov, Isroil A.
Format: Article
Language:English
Subjects:
Coordinates
Estimates
Integrals
Mathematics
Mathematics and Statistics
Singularities
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Summary:In this paper, we consider estimates for two-dimensional oscillatory integrals. The phase function of oscillatory integrals is a linear perturbation of a function with D -type singularities. We consider estimates for oscillatory integrals using the maximal functions of the Randol type. Sharp L loc p estimates for the Randol maximal functions are obtained. Furthermore, we investigate the sharp value of p , depending on whether the phase function has a linearly adapted coordinate system or not.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07372-x