强奇异积分算子在加权Amalgam空间上的有界性

Boundedness for strongly singular integral operator on weighted Amalgam space

摘要: 当强奇异积分算子T及其由强奇异积分算子T和BMO函数b生成的交换子b,T在加权Lq有界时,利用调和分析的方法,证明了他们在加权Amalgam空间(Lq,Lp)上有界,并得到了从加权Amalgam空间(Lq(w),Lp)到加权Amalgam空间(Lq(w),Lp)的有界性.

Abstract: When strongly singular integral operator T and its commutator b,T generated by the strongly singular integral operator with BMO function b are bounded on weighted Lq,using the methods of harmonic analysis.The authors prove they are bounded on weighted Amalgam space (Lq,Lp),and the boundedness from weighted Amalgam space (Lq(w),Lp) to weighted Amalgam space (Lq(w),Lp).