Weak $(1,1)$ estimate for oscillatory singular integrals with real-analytic phases

Yibiao Pan
1994 Proceedings of the American Mathematical Society  
In this paper, we prove the uniform weak (1,1) estimate for oscillatory singular integral operators with real-analytic phase functions in the one-dimensional case. Some partial results for the higher-dimensional case is also included.
doi:10.1090/s0002-9939-1994-1169044-6 fatcat:gb7rx2yh4rcujokjmfo5fhndxq