Logarithmic Bounds for Oscillatory Singular Integrals on Hardy Spaces

We establish a logarithmic bound for oscillatory singular integrals with quadratic phases on the Hardy space H1(Rn). The logarithmic rate of growth is the best possible.

Bibliographic Details
Main Authors: Hussain Al-Qassem, Leslie Cheng, Yibiao Pan
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/1570109