Weighted weak type (1, 1) estimates for oscillatory singular integrals

Weighted weak type (1, 1) estimates for oscillatory singular integrals
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DOI:
10.4064/sm-141-1-1-24
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发表时间:
2000-02
期刊:
影响因子:
0.8
通讯作者:
Shuichi Sato
Shuichi Sato
中科院分区:
数学3区
文献类型:
--
作者:
Shuichi Sato

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设K C R n f g对任意a B a B b都满足jK x j cjxj n jrK x j cjxj n Z a jxj B K x dx,其中最小常数用C K表示,
We consider the A weights and prove the weighted weak type inequali ties for certain oscillatory singular integrals Introduction Let K C R n f g satisfy jK x j cjxj n jrK x j cjxj n Z a jxj b K x dx for all a b a b The smallest constant for which holds will be denoted by C K We consider an oscillatory singular integral operator