Geodesic
Estimates of Oscillatory Integrals with a Damping Factor
Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 200-215

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Estimates of the Fourier transform of measures concentrated on analytic hypersurfaces containing a damping factor are considered. The solution of the Sogge and Stein problem on the optimal decrease of the Fourier transform of measures with a damping factor for the particular class of analytic surfaces of three-dimensional space is given.
Keywords: oscillatory integral, damping factor, maximal operator.
Mots-clés : Fourier transform 
@article{MZM_2018_104_2_a4,
     author = {I. A. Ikromov and Sh. A. Muranov},
     title = {Estimates of {Oscillatory} {Integrals} with a {Damping} {Factor}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {200--215},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a4/}
}
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I. A. Ikromov; Sh. A. Muranov. Estimates of Oscillatory Integrals with a Damping Factor. Matematičeskie zametki, Tome 104 (2018) no. 2, pp. 200-215. http://geodesic.mathdoc.fr/item/MZM_2018_104_2_a4/