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论文类型：期刊论文

发表时间：2019-11-01

发表刊物：ACTA MATHEMATICA SINICA-ENGLISH SERIES

收录刊物：SCIE

卷号：35

期号：11

页面范围：1741-1759

ISSN号：1439-8516

关键字：Weak (1,1) boundedness; oscillatory singular integral; variable curve

摘要：In this paper, the weak (1,1) boundedness of oscillatory singular integral with variable phase P(x)gamma(y) for any x, y is an element of R,
   Tf(x):=p.v. integral(infinity)(infinity)e(iP(x)gamma(y))f(x-y)dy/y
   is studied, where P is a real monic polynomial on Double-struck capital R.