Berezin transform on the quantum unit ball
نویسندگان
چکیده
منابع مشابه
Berezin Transform on the Harmonic Fock Space
We show that the Berezin transform associated to the harmonic Fock (Segal-Bargmann) space on Cn has an asymptotic expansion analogously as in the holomorphic case. The proof involves a computation of the reproducing kernel, which turns out to be given by one of Horn’s hypergeometric functions of two variables, and an ad hoc determination of the asymptotic behaviour of the resulting integrals, t...
متن کاملThe Berezin Transform on the Toeplitz Algebra
This paper studies the boundary behavior of the Berezin transform on the C∗-algebra generated by the analytic Toeplitz operators on the Bergman space.
متن کاملOn the Derivatives of the Berezin Transform
Improving upon a recent result of L. Coburn and J. Xia, we show that for any bounded linear operator T on the Segal-Bargmann space, the Berezin transform of T is a function whose partial derivatives of all orders are bounded. Similarly, if T is a bounded operator on any one of the usual weighted Bergman spaces on a bounded symmetric domain, then the appropriately defined “invariant derivatives”...
متن کاملBalanced Metric and Berezin Quantization on the Siegel–Jacobi Ball
We determine the matrix of the balanced metric of the Siegel–Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace–Beltrami operator of this manifold. We discuss several geometric aspects related with Berezin quantization on the Siegel–Jacobi ball.
متن کاملOn the Unit Ball
Let φ(z) = (φ1(z), · · · , φn(z)) be a holomorphic selfmap of B and ψ(z) a holomorphic function on B, where B is the unit ball of C n . Let 0 < p, s < +∞,−n− 1 < q < +∞, q+ s > −1 and α ≥ 0, this paper gives some necessary and sufficient conditions for the weighted composition operatorWψ,φ induced by φ and ψ to be bounded and compact between the space F (p, q, s) and α-Bloch space β.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2003
ISSN: 0022-2488
DOI: 10.1063/1.1593226