Faculty Publication: Professor of Mathematics Leslie Cheng

Endpoint Estimates for Oscillatory Singular Integrals with Hölder Class Kernels

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→ L^1,∞ and H_E¹→ 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.

Department of Mathematics