A^p(B_n,dV)上具有BT符号的Toeplitz算子

Toeplitz operators on A^p(B_n,dV) with symbol in BT

研究了高维Bergman空间Ap(Bn,dV)(1<p<∞)上具有BT符号的Toeplitz算子,利用Toeplitz算子的Berezin变换讨论了Toeplitz算子的有界性,得到了Ap(Bn,dV)上具有BT符号的Toeplitz算子的范数和本性范数的估计,推广了MIAO和ZHENG在Bergman空间Lp(D,dA)上对具有BT符号的Toeplitz算子的范数和本性范数进行估计的结论.

In this paper, we study the Toeplitz operators on Bergman space of the unit ball A^p（Bn,dV） （ 1 〈 p 〈 ∞） with symbol in BT and we investigate the boundedness of Toeplitz operators by its Berezin transform, then we obtain some estimates about the norm and essential norm of the Toeplitz operators on A^P（ Bn, dV） with symbol in BT, and promote the conclusion given by MIAO and ZHENG about some estimates about the norm and essential norm of the Toeplitz operators on Bergman space of the unit disk L^p（D, dA） with symbol in BT.