Closures of Hardy and Hardy-Sobolev spaces in the Bloch type space on the unit ball

DOI10.1007/s11785-017-0758-1zbMath1404.32006OpenAlexW2777613955MaRDI QIDQ722269

Jasbir Singh Manhas, Ruhan Zhao

Publication date: 23 July 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0758-1

zbMATH Keywords

BMOBloch spaceHardy-Sobolev spaces

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bloch functions, normal functions of several complex variables (32A18) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (6)

Closures of holomorphic tent spaces in weighted Bloch spaces ⋮ Unnamed Item ⋮ Closures of Bergman-Besov spaces in the weighted Bloch spaces on the unit ball ⋮ Closure in the logarithmic Bloch norm of Dirichlet type spaces ⋮ Closure of analytic functions of the bounded mean oscillation in logarithmic Bloch spaces ⋮ Closure in logarithmic Hardy-Bloch norm of some analytic function spaces

Cites Work

• Unnamed Item
• Integration operators between Hardy spaces on the unit ball of \(\mathbb{C}^n\)
• Embedding derivatives of \({\mathcal M}\)-harmonic functions into \(L^p\) spaces
• Maximal and area integral characterizations of Hardy-Sobolev spaces in the unit ball of \({\mathbb{C}}^ n\)
• Pointwise multipliers and corona type decomposition in \(BMOA\)
• Embedding derivatives of \(\mathcal{M}\)-harmonic Hardy spaces \(\mathcal{H}^ P\) into Lebesgue spaces, \(0<p<2\)
• Closure of Hardy spaces in the Bloch space
• \(H^p\) spaces of several variables
• Theory of Bergman Spaces in the Unit Ball of C^n
• Embedding Derivatives of Hardy Spaces into Lebesgue Spaces
• Spaces of Holomorphic Functions in the Unit Ball

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