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arXiv · 2406.18866

Tent Carleson measures and superposition operators on Hardy type tent spaces

Jiale Chen
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Abstract

In this paper, we completely characterize the positive Borel measures $\mu$ on the unit ball $\mathbb{B}_n$ of $\mathbb{C}^n$ such that the Carleson embedding from holomorphic Hardy type tent spaces $\mathcal{HT}^p_{q,\alpha}$ into the tent spaces $T^t_s(\mu)$ is bounded for all $0 -n-1$. As an application, we determine the indices $0 -n-1$ such that the inclusion $\mathcal{HT}^p_{q,\alpha}\subset\mathcal{HT}^t_{s,\beta}$ holds, which allows us to completely characterize the nonlinear superposition operators between Hardy type tent spaces.

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Jiale Chen. 2024-06-27. Tent Carleson measures and superposition operators on Hardy type tent spaces. https://arxiv.org/abs/2406.18866

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