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