A DERIVATIVE-HILBERT OPERATOR ACTING FROM LOGARITHMIC BLOCH SPACES TO BERGMAN SPACES  

作　　者：Shanli YE Yun XU 叶善力;徐芸(School of Science,Zhejiang University of Science and Technology,Hangzhou,310023,China)

机构地区：[1]School of Science,Zhejiang University of Science and Technology,Hangzhou,310023,China

出　　处：《Acta Mathematica Scientia》2024年第5期1916-1930,共15页数学物理学报（B辑英文版）

基　　金：supported by Zhejiang Provincial Natural Science Foundation of China(LY23A010003).

摘　　要：Letμbe a positive Borel measure on the interval[0,1).The Hankel matrix■with entriesμn,k=μn+k,whereμn=■[0,1)tndμ(t),induces,formally,the operator■where■is an analytic function in.We characterize the measuresμfor which■is bounded(resp.,compact)operator from the logarithmic Bloch space■into the Bergman space■,where 0≤α<∞,0<p<∞.We also characterize the measuresμfor which■is bounded(resp.,compact)operator from the logarithmic Bloch space■into the classical Bloch space■.

关 键 词：derivative-Hilbert operator logarithmic Bloch space Carleson measure 

分 类 号：O177[理学—数学]