CHEN Jianjun, WANG Xiaofeng. Compact Toeplitz operators on the Dirichlet space over unit ball[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(6):74-78.
CHEN Jianjun, WANG Xiaofeng. Compact Toeplitz operators on the Dirichlet space over unit ball[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2016,55(6):74-78.DOI:
The compactness of Toeplitz operators on Dirichlet space is studied. It is proved that finite sums of finite products of Toeplitz operators with bounded symbols are compact if and only if their Berezin-type transforms vanish on the boundary of the unit ball.
关键词
Toeplitz算子Berezin型变换Dirichlet空间单位球
Keywords
Toeplitz operatorBerezin type transformDirichlet spaceunit ball