Authors: Al-Qassem, Hussain; Cheng, Leslie; Pan, Yibiao
Source: JOURNAL OF FUNCTION SPACES, 10.1155/2019/8561402 2019
Publication Type: Article
Abstract: We prove the uniform L1→ L1,∞&²Ô²ú²õ±è;and HE1→&²Ô²ú²õ±è;L1 boundedness of oscillatory singular integral operators whose kernels are the products of an oscillatory factor with bilinear phase and a Calderón-Zygmund kernel K(x,y) satisfying a Hölder condition. This Hölder condition appreciably weakens the C1 condition imposed in existing literature.