Lipschitz spaces of holomorphic functions over bounded symmetric domains in \(C^ n\).

DOI10.1016/0022-247X(81)90050-0zbMath0492.46044MaRDI QIDQ1167908

Wu-Young Chen

Publication date: 1981

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceFourier seriesdual spaceSilov boundaryLipschitz spaces of holomorphic functions over bounded symmetric domains

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items

Hardy classes and related spaces of analytic functions in the unit circle, polydisc, and the ball ⋮ Bounded projections and duality on spaces of holomorphic functions in the unit ball ofℂ n ⋮ Unnamed Item ⋮ On inner functions with \(H^p\) and \(B^p\) derivatives in the unit ball of \(\mathbb C^n\) ⋮ Holomorphic mean Lipschitz spaces and Hardy–Sobolev spaces on the unit ball

Cites Work

• Representation of linear functionals in \(H^p\) spaces over bounded symmetric domains in \(\mathbb{C}^N\)
• Realization of Hermitian symmetric spaces as generalized half-planes
• Mean values of power series
• The dual of an inequality of Hardy and Littlewood and some related inequalities
• Lipschitz spaces of functions on the circle and the disc
• CLASSES OF HOLOMORPHIC FUNCTIONS OF SEVERAL VARIABLES IN CIRCULAR DOMAINS
• Generalized Cayley Transformations of Bounded Symmetric Domains
• H p Spaces on Bounded Symmetric Domains
• $H^p$ spaces on bounded symmetric domains
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