We prove that every bounded linear operator on weighted Bergman space over the polydisk can be approximated by Toeplitz operators under some conditions. The main tool here is the so-called (m,λ)-Berezin transform. In particular, our results generalized the results of K. Nam and D. C. Zheng to the case of operators acting on Aλ2(Dn)
Let S be the space of functions of regular variation and let omega = (omega (1),..., omega (n)), ome...
We have shown that if the Toeplitz operator Tφ on the Bergman space L2aD belongs to the Schatten cl...
The present paper mainly gives some new applications of Berezin symbols. In particular, the Berezin ...
AbstractFor T a bounded linear operator on the Hardy space H2, its Berezin transform is the function...
Abstract. We show that, perhaps surprisingly, the asymptotic behaviour of the Berezin transform as w...
ABSTRACT. m-Berezin transforms are introduced for bounded operators on the Bergman space of the unit...
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties ...
This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the...
We prove approximation results about sequences of Berezin transforms of finite sums of finite produc...
We give a necessary and a sufficient condition for the boundedness of the Toeplitz product TFTG* on ...
ABSTRACT. For positive Toeplitz operators on Bergman spaces of the unit ball, we determine exactly w...
The standard Berezin and Berezin-Toeplitz quantizations on a Kähler man-ifold are based on operator...
AbstractWe study the Berezin transform of bounded operators on the Bergman space on a bounded symmet...
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S...
et ]Ibe a bounded symmetric domain, f2 C ]Ia bounded subdomain, and let 7-[2 C L2 denote the weighte...
Let S be the space of functions of regular variation and let omega = (omega (1),..., omega (n)), ome...
We have shown that if the Toeplitz operator Tφ on the Bergman space L2aD belongs to the Schatten cl...
The present paper mainly gives some new applications of Berezin symbols. In particular, the Berezin ...
AbstractFor T a bounded linear operator on the Hardy space H2, its Berezin transform is the function...
Abstract. We show that, perhaps surprisingly, the asymptotic behaviour of the Berezin transform as w...
ABSTRACT. m-Berezin transforms are introduced for bounded operators on the Bergman space of the unit...
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties ...
This paper studies the boundary behavior of the Berezin transform on the C*-algebra generated by the...
We prove approximation results about sequences of Berezin transforms of finite sums of finite produc...
We give a necessary and a sufficient condition for the boundedness of the Toeplitz product TFTG* on ...
ABSTRACT. For positive Toeplitz operators on Bergman spaces of the unit ball, we determine exactly w...
The standard Berezin and Berezin-Toeplitz quantizations on a Kähler man-ifold are based on operator...
AbstractWe study the Berezin transform of bounded operators on the Bergman space on a bounded symmet...
To any bounded operator S on the Bergman space La2 we associate a sequence of linear transforms Bn(S...
et ]Ibe a bounded symmetric domain, f2 C ]Ia bounded subdomain, and let 7-[2 C L2 denote the weighte...
Let S be the space of functions of regular variation and let omega = (omega (1),..., omega (n)), ome...
We have shown that if the Toeplitz operator Tφ on the Bergman space L2aD belongs to the Schatten cl...
The present paper mainly gives some new applications of Berezin symbols. In particular, the Berezin ...
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