Sharp bounds for oscillatory singular integrals on Hardy spaces
Authors: Al-Qassem, Hussain; Cheng, Leslie; Pan, Yibiao
Source: STUDIA MATHEMATICA, 238 (2):121-132; 10.4064/sm8496-2-2017 2017
Abstract: We establish the optimal bound for oscillatory singular integrals with polynomial phase functions of arbitrary degrees on the Hardy space H-1 (R-n). We also prove that such a bound remains valid in the setting of weighted Hardy spaces.