Area inequality and \(Q_{p}\) norm

DOI10.1016/j.jfa.2004.12.007zbMath1078.30028OpenAlexW2075221615MaRDI QIDQ1772689

Rauno Aulaskari, Huai Hui Chen

Publication date: 21 April 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.12.007

zbMATH Keywords

\(Q_p\) spaceHyperbolic Riemann surface

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (13)

Length and area estimates for (hyperbolically) convex conformal mappings ⋮ Conformal mapping, convexity and total absolute curvature ⋮ Monotonicity theorems for analytic functions centered at infinity ⋮ \(Q_{p}\) and \(M_{p}\) norm in the unit ball of \(\mathbb {C}^n\) ⋮ Geometric versions of Schwarz’s lemma for spherically convex functions ⋮ Equality case for an elliptic area condenser inequality and a related Schwarz type lemma ⋮ On invariant function spaces \(H^q_{Q_p}(R)\) ⋮ Volume integral means of holomorphic functions ⋮ Lindelöf's principle and estimates for holomorphic functions involving area, diameter or integral means ⋮ Maximal property of the capacity density Bloch space for on Riemann surfaces ⋮ Upper and lower estimates for the modulus of bounded holomorphic functions ⋮ Isoperimetry for semilinear torsion problems in Riemannian two-manifolds ⋮ Hyperbolic geometric versions of Schwarz’s lemma

Cites Work

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• Image areas and BMO norms of analytic functions
• On Bloch and automorphic functions
• Some subclasses of BMOA and their characterization in terms of Carleson measures
• BMOA \((R,m)\) and capacity density Bloch spaces on hyperbolic Riemann surfaces
• Range Sets And Bmo Norms of Analytic Functions
• On VMOA for Riemann Surfaces
• On BMOA for Riemann Surfaces
• Q_p Spaces on Riemann Surfaces
• ON SUBSPACES AND SUBSETS OF BMOA AND UBC
• On little bloch space, its carleson measure, atomic decomposition and free interpolation
• Holomorphic \(Q\) classes

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