高校应用数学学报A辑
高校應用數學學報A輯
고교응용수학학보A집
APPLIED MATHEMATICS A JOURNAL OF CHINESE UNIVERSITIES
2009年
4期
443-452
,共10页
交换子%Marcinkiewicz积分%原子%Hardy空间
交換子%Marcinkiewicz積分%原子%Hardy空間
교환자%Marcinkiewicz적분%원자%Hardy공간
commutator%Marcinkiewicz integral%atom%Hardy space
讨论了由核函数满足具有某类Dini条件的Marcinkiewicz积分μΩ及函数b∈Lipβ(R~n)生成的交换子μ(_Ω,b)~m的性质.证明了Marcinkiewicz积分交换子μ_(_Ω,b)~m在Hardy型空间H_(bm,s)(R~n)上有界,也在Herz型Hardy空间H_(bm)K_p~(a_q)(R~n)上有界.
討論瞭由覈函數滿足具有某類Dini條件的Marcinkiewicz積分μΩ及函數b∈Lipβ(R~n)生成的交換子μ(_Ω,b)~m的性質.證明瞭Marcinkiewicz積分交換子μ_(_Ω,b)~m在Hardy型空間H_(bm,s)(R~n)上有界,也在Herz型Hardy空間H_(bm)K_p~(a_q)(R~n)上有界.
토론료유핵함수만족구유모류Dini조건적Marcinkiewicz적분μΩ급함수b∈Lipβ(R~n)생성적교환자μ(_Ω,b)~m적성질.증명료Marcinkiewicz적분교환자μ_(_Ω,b)~m재Hardy형공간H_(bm,s)(R~n)상유계,야재Herz형Hardy공간H_(bm)K_p~(a_q)(R~n)상유계.
In this paper, the properties of commutators μ_(Ω,b)~m are studied, which are generalized by the Marcinkiewicz operator μΩ with the kernel satisfying center Dini condition and the function 6 ∈ Lip_β(R~n). The boundedness of μ_(Ω,b)~m on the space of Hardy type H_(bm,s)p(R~n) and that on the Herz-type Hardy space H_(bm) K_q~(a,p)(R~n) are established.
