Complex Analysis and Operator Theory ( IF 0.7 ) Pub Date : 2021-05-08 , DOI: 10.1007/s11785-021-01113-7 Maofa Wang , Lv Zhou
In this paper, we obtain some characterizations on Carleson measures for Hardy type tent spaces on the unit ball through products of functions. As applications, we characterize the boundedness and compactness of Toeplitz type operators between distinct Hardy type tent spaces in terms of Carleson measures. Moreover, we obtain bounded and compact Toeplitz type operators \(T_{\mu }^{\beta }\) from weighted Bergman spaces \(A_{n+\alpha }^p\) to Hardy spaces \(H^q\), and describe the membership in the Schatten classes \(S_p(A_{n+\alpha }^2,H^2)\) of Toeplitz type operators \(T_{\mu }^{\beta }\) for \(0<p<\infty \).
中文翻译:
Hardy型帐篷空间上的Carleson测度和Toeplitz型算子
在本文中,我们通过函数乘积获得了对单位球上Hardy型帐篷空间的Carleson测度的一些刻画。作为应用程序,我们根据Carleson度量来刻画不同Hardy型帐篷空间之间Toeplitz型算子的有界性和紧致性。此外,我们从加权Bergman空间\(A_ {n + \ alpha} ^ p \)到Hardy空间\(H ^ q \)获得有界且紧凑的Toeplitz类型运算符\ {T _ {\ mu} ^ {\ beta} \)和描述成员在上Schatten类\(S_P(A_ {N + \阿尔法} ^ 2,H ^ 2)\)特普利茨型算\(T _ {\亩} ^ {\测试} \)为\(0 <p <\ infty \)。