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

2025/09/14 by Rong Yang, Yang, Rong, Xiangling Zhu +1
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Nonlinear Waves and Solitons #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2509.11086

Abstract

In this paper, the derivative tent space \(DT_p^q(α)\) is introduced. Then, we study \(C_B_log^γβ(DT_p^q(α)\capB_log^γβ)\), 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 \(C_B(D^p_α ∩ B)\) and \(C_B_log(D²_α\capB_log)\) are obtained.

Citations

• Generalized integration operators on analytic tent spaces
• Duality of holomorphic Hardy type tent spaces
• Closure of Hardy spaces in the Bloch space
• Integration operators between Hardy spaces on the unit ball of \Cn
• Some new function spaces and their applications to Harmonic analysis

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• Composition operators from logarithmic Bloch spaces to weighted Bloch spaces
• Tent spaces and Littlewood-Paley g-functions associated with Bergman spaces in the unit ball of ℂⁿ
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