论文标题
Carleson将定理嵌入指数的伯格曼空间
Carleson embedding theorem for an exponential Bergman space on the unit ball
论文作者
论文摘要
我们在$ \ mathbb c^n $的单位球上表征了Carleson的指数，这是由重量函数对数的复杂Hessian引起的。使用Carleson测度（或消失的Carleson措施）表征给出了整体操作员，CESàRO操作员和Toeplitz运算符的界限（或紧凑性）。
We characterize the Carleson measures for an exponential Bergman space on the unit ball of $\mathbb C^n$ in terms of the ball induced by the complex Hessian of the logarithm of the weight function. The boundedness (or compactness) of integral operators, Cesàro operators and Toeplitz operators, is given using the Carleson measure (or vanishing Carleson measure) characterization.
