CLASSESprojectionnormalizedLebesgue切一writeLet B~n be the unit ball in C~n with dm the normalized Lebesgue measure on it. We de note by H(B~n) the set of holomorphic functions on B~n. Let L_a~2(B~n) be a Bergrnan space, P an orthogonal projection from L~2(B~n, dm) onto ...
In this paper we show that the theory of Hankel operators in the torus $\\T^d$, for $d > 1$, presents striking differences with that on the circle $\\T$, starting with bounded Hankel operators with no bounded symbols. Such differences are circumvented here by replacing the space of ...
J. Miao, “Toeplitz operators on harmonic Bergman spaces”, Integral Equations and Operator Theory, 27, 426–438, 1997. CrossRef J. Miao, “Reproducting kernels for harmonic Bergman spaces of unit ball”, Monatshefte für Mathematik, 125, 25–35, 1998. CrossRef F. A. Shamoian, “Diag...
Hankel Operators on Weighted Fock Spaces Bergman kernelWe consider Hankel operators $H_{bar{f}}$ with antiholomorphic symbol $bar{f}$ on the generalized Fock space ${mathcal{A}}^{2}(mu_... H Bommier-Hato,EH Youssfi - 《Integral Equations & Operator Theory》 被引量: 45发表: 2007年...
摘要: We give a necessary and sufficient condition for Hankel operators H f on the harmonic Bergman space of the unit ball to be in the Schatten p -class for 2 ≤ p < ∞. A special case when symbol f is a harmonic function is also considered....
operator with anti-holomorphic symbol is Hilbert-Schmidt on the Bergman spaceA^2(D_{n,m,k}^{\mu,p,s}), then it must be zero. This gives an example of high dimensional unbounded complete Reinhardt domain that does not admit nonzero Hilbert-Schmidt Hankel operators with anti-holomorphic ...
12.Toeplitz Operators and Hankel Operators on the Function Spaces函数空间上的Toeplitz算子及Hankel算子 13.The Essential Norm of the Generalized Hankel Operators on the Bergman SpaceBergman空间上广义Hankel算子的本性模 14.Hankel Matrix Solutions of Linear Matrix Equations线性矩阵方程的Hankel矩阵解 ...
Tchoundja, Duality for large Bergman-Orlicz spaces and Hankel operators between holomorphic Bergman-Orlicz spaces on the unit ball, Complex Var. Elliptic Equ. 62 (2017), no. 11, 1619-1644.B. F. Sehba, E. Tchoundja, Duality for large Bergman-Orlicz spaces and bounded of Hankel operators....
In this paper, we extend the ddinition of Besov p-spaces to higher dimensions. We characterize these spaces and solve a conjecture given by Zhu. We also prove that for n ≥ 2, the Schatten ideal S p of the Bergman space on the unit ball in C n contains nonzero Hankel operators with...
In this article we study the (small) Hankel operator hb on the Hardy and Bergman spaces on a smoothly bounded convex domain of finite type in ℂn. We completely characterize the Hankel operators hb that are bounded, compact, and belong to the Schatten ideal Sp, for 0 In particular, ...