|
|||||
|
|
Damped Oscillatory Integrals and Maximal Operators |
|
| Authors: | I. A. Ikromov |
| Affiliation: | (1) Samarkand State University, Samarkand, Uzbekistan |
| Abstract: | In the present paper, we consider estimates of the Fourier transform of Borel measures concentrated on analytic hypersurfaces and containing a mitigating factor. The mitigating factors are expressed in terms of principal curvatures of the surface. The resulting estimates are applied to investigating the boundedness of the corresponding maximal operators. |
| Keywords: | damped oscillatory integral maximal operator Fourier transform Borel measures mitigating factor boundedness of maximal operators Gaussian curvature |
| 本文献已被 SpringerLink 等数据库收录！ | |