A van der Corput type lemma for oscillatory integrals with Hölder amplitudes and its applications
Authors: Hussain Al-Qassem, Leslie Cheng, Yibiao Pan
Source: Journal of the Korean Mathematical Society, 2021, vol. 58, no. 2, 487-499.
Publication type: Article
Abstract: We prove a decay estimate for oscillatory integrals with Hölder amplitudes and polynomial phases. The estimate allows us to answer certain questions concerning the uniform boundedness of oscillatory singular integrals on various spaces.