【摘要】 讨论了单位球的加权Bergman空间A_α^p（B_n,dV_α）（1<P<∞）上具有L¹（B_n）符号的Toeplitz算子,利用单位球上Toeplitz算子的Berezin变换,等价刻画了A_α^p（B_n,dV_α）上具有L¹（B_n）符号的Toeplitz算子的有界性和紧性,推广了Agbor对L_a²（D,dA）上具有L¹（D）符号的Toeplitz算子的有界性和紧性等价刻画的结论.更多还原

【Abstract】 We investigate the boundedness and compactness of Toeplitz operators with L~1 symbols on weighted Bergman spaces of the unit ball A_α~p(B_n,dV_α)(1<p<∞). We describe the boundedness and compactness of Toeplitz operators with L~ symbols on A_α~p(B_n,dV_α) equivalently by using the Berezin transform of the ToepUtz operators, and promote the conclusion given by Agbor about the boundedness and compactness of Toeplitz operators with L~1 symbols on Bergman space of the unit disk L_α~2(D).更多还原