The closure of derivative tent spaces in the logarithmic Bloch-type norm

Rong Yang; Xiangling Zhu

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arXiv · 2509.11086

The closure of derivative tent spaces in the logarithmic Bloch-type norm

Rong Yang·Xiangling Zhu

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Abstract

In this paper, the derivative tent space $DT_p^q(α)$ is introduced. Then, we study $\mathcal{C}_{\mathcal{B}_{{\log}^γ}^β}(DT_p^q(α)\cap\mathcal{B}_{{\log}^γ}^β)$, the closure of the derivative tent space $DT_p^q(α)$ in the logarithmic Bloch-type space $\Blog$. As a byproduct, some new characterizations for $C_\mathcal{B}(\mathcal{D}^p_α \cap \mathcal{B})$ and $C_{\mathcal{B}_{\log}}(\mathcal{D}^2_α\cap\mathcal{B}_{\log})$ are obtained.

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BibTeX RIS

Rong Yang, Xiangling Zhu. 2025-09-14. The closure of derivative tent spaces in the logarithmic Bloch-type norm. https://arxiv.org/abs/2509.11086

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