单位球上Q_p函数的Carleson型特征  

Carleson characterization of Q_p function in unit ball of C^n

作　　者：徐辉明[1] 

机构地区：[1]浙江师范大学数学系,浙江金华321004

出　　处：《浙江工业大学学报》2001年第1期90-94,共5页Journal of Zhejiang University of Technology

基　　金：浙江省自然科学基金项目 !(10 0 0 42 )

摘　　要：利用Cn 中单位球上的p Carleson测度刻划了函数空间Qp 和Qp,0 ,得出了f∈Qp(Bn)(Qp,0 (Bn) )的充要条件是 :dμ(z) =|Rf(z) |2 ( 1 -|z|2 ) pndυ(z)　 ( 0 <p <∞ )是有界 (紧 )p Carleson测度 ,同时给出了Qp,0This paper gives the definition of bounded p-Carleson measure and compact p-Carleson measure in unit ball, and obtain the characterization of functions in \%Q\-p(B\-n)\% and \%Q\-p,0(B\-n)\%. That is, \%f∈Q\-p(B\-n)(Q\-p,0(B\-n\%)) if and only if: d\%μ(z)=|Rf(z)|\+2(1-|z|\+2)\+\{pn\}\%d\%υ(z)\ (0<p<∞\%) is bounded(compact) p-Carleson measure. Finally, the author gives a sufficient condition that a function is in \%Q\-p,0(B\-n)\%.

关 键 词：p-Carleson 梯度 径向导数 单位球 Qp函数 特征 

分 类 号：O174.56[理学—数学]