Weak (1,1) Boundedness of Oscillatory Singular Integral with Variable Phase

Citation
Yu, Hai Xia et Li, Jun Feng, Weak (1,1) Boundedness of Oscillatory Singular Integral with Variable Phase, Acta mathematica Sinica. English series (Print) , 35(11), 2019, pp. 1741-1759
ISSN journal
14398516
Volume
35
Issue
11
Year of publication
2019
Pages
1741 - 1759
Database
ACNP
SICI code
Abstract
In this paper, the weak (1,1) boundedness of oscillatory singular integral with variable phase P(x).(y) for any x, y . ., Tf(x):=p.v.....eiP(x).(y)f(x.y)dyy is studied, where P is a real monic polynomial on ..