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Tent Carleson measures and superposition operators on Hardy type tent spaces
- Publication Year :
- 2024
-
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 $0<p,q,s,t<\infty$ and $\alpha>-n-1$. As an application, we determine the indices $0<p,q,s,t<\infty$ and $\alpha,\beta>-n-1$ 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.
- Subjects :
- Mathematics - Functional Analysis
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2406.18866
- Document Type :
- Working Paper