Bilinear integral operators with certain hypersingularities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Heo, Yaryong¹  Hong, Sunggeum²  Yang, Chan Woo¹ 

[1] Korea Univ, Dept Math, Seoul 196701, South Korea

[2] Chosun Univ, Dept Math, Gwangju 501759, South Korea

关键词: Hypersingular integral operators;    Bilinear operators;    Fractional derivatives;    Bilinear Hilbert transform;   

DOI  :  10.1016/j.jmaa.2017.07.005

来源: Elsevier

【 摘 要 】

In this paper, we establish the sharp L-P boundedness for the bilinear integral operators with certain hypersingularities that generalize the bilinear Hilbert transform. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free