摘要
The L p boundedness for maximal singular integral operators on product domainsT *f(x,y)= sup ε 1,ε 2>0∫ |u|>ε 1 ∫ |v|>ε 2 Ω(u,v)|u| n|v| m f(x-u, y-v) d u d v = sup ε 1,ε 2>0|T ε 1,ε 2 f(x,y)|are discussed in this paper, where Ω(u,v)∈L q(S n-1 ×S m-1 ) and ∫ S m-1 Ω(u′,v′) d v′=0, ∫ S n-1 Ω(u′,v′) d u′=0 for every u′∈S n-1 , v′∈S m-1 .
The L p boundedness for maximal singular integral operators on product domainsT *f(x,y)= sup ε 1,ε 2>0∫ |u|>ε 1 ∫ |v|>ε 2 Ω(u,v)|u| n|v| m f(x-u, y-v) d u d v = sup ε 1,ε 2>0|T ε 1,ε 2 f(x,y)|are discussed in this paper, where Ω(u,v)∈L q(S n-1 ×S m-1 ) and ∫ S m-1 Ω(u′,v′) d v′=0, ∫ S n-1 Ω(u′,v′) d u′=0 for every u′∈S n-1 , v′∈S m-1 .
基金
TheNNSFC ( 1 9631 0 80 )&NSFZJ ( 970 1 7)
