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arXiv · 2207.13937

Carleson embedding theorem for an exponential Bergman space on the unit ball

Hong Rae Cho·Han-Wool Lee·Soohyun Park
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Abstract

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, Ces\`{a}ro operators and Toeplitz operators, is given using the Carleson measure (or vanishing Carleson measure) characterization.

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Hong Rae Cho, Han-Wool Lee, Soohyun Park. 2022-07-28. Carleson embedding theorem for an exponential Bergman space on the unit ball. https://arxiv.org/abs/2207.13937

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