Atomic decomposition of \(\mu\)-Bergman space in \(\mathbf C^n\)

DOI10.1016/S0252-9602(14)60048-5zbMath1313.32015MaRDI QIDQ2514986

Haixia Fan, Lihua Xi, Jun-Feng Li, Xue-Jun Zhang

Publication date: 11 February 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

atomic decompositionunit ball\(\mu\)-Bergman space

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (13)

Composition operator between normal weight Dirichlet type space and Bloch type space ⋮ Bergman type operator on spaces of holomorphic functions in the unit ball of \(\mathbb{C}^n\) ⋮ Unnamed Item ⋮ Integral estimates and multiplier operators from normal weight general function spaces to Bloch type spaces ⋮ The Gleason's problem on normal weight general function spaces in the unit ball of \(\mathbb{C}^n\) ⋮ Generalized integral type Hilbert operator acting between weighted Bloch spaces ⋮ Composition operators on the normal weight Dirichlet type space in the unit disc ⋮ Unnamed Item ⋮ Equivalent characterizations and pointwise multipliers of normal weight Dirichlet space on the unit ball ⋮ Unnamed Item ⋮ \(\mathcal{N}(p,q,s)\)-type spaces in the unit ball of \(\mathbb{C}^n\). IV: Atomic decomposition, Gleason's problem and distance problems ⋮ Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of \({C}^{\text{n}}\) for \({n}>1\) ⋮ An integral estimate and the equivalent norms on \(F(p,q,s,k)\) spaces in the unit ball

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