Plurisubharmonic martingales and barriers in complex quasi-Banach spaces

DOI10.5802/aif.1198zbMath0678.46013OpenAlexW2315942436MaRDI QIDQ1124085

Nassif Ghoussoub, Bernard Maurey

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_4_1007_0

zbMATH Keywords

Brownian motionanalytic martingale techniquesbounded upper semi-continuous functionsChoquet-type integral representationgeometrical structure on a complex quasi-Banach spaceHardy martingalesJensen boundary measuresplurisubharmonic barriersplurisubharmonic martingalesplurisubharmonic perturbations

Mathematics Subject Classification ID

Brownian motion (60J65) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Martingales and classical analysis (60G46)

Related Items

Analytic functions with values in lattices and symmetric spaces of measurable operators ⋮ A class of complex quasi-Orlicz spaces and their analytic RN property ⋮ A decomposition for Hardy martingales II ⋮ Convexités uniformes et inégalités de martingales. (Uniform convexity and inequalities for martingales) ⋮ Une caracterisation de la proprieté de Radon-Nikodym analytique pour les espaces de Banach isomorphes a leur carrés. (A characterization of the analytic Radon-Nikodym property for Banach spaces isomorphic to their squares) ⋮ Optimal Brownian Stopping When the Source and Target Are Radially Symmetric Distributions ⋮ Factorization of operator valued analytic functions ⋮ Maps with the Radon-Nikodým property ⋮ Convergence of vector valued plurisubharmonic martingales with two indices ⋮ Deux remarques sur la propriété de Radon-Nikodym analytique

Cites Work

• The complex convexity of quasi-normed linear spaces
• \(G_{\delta}\)-embeddings in Hilbert space
• Analytic martingale convergence
• Compact convex sets and complex convexity
• The asymptotic-norming and Radon-Nikodym properties for Banach spaces
• Boundary properties of analytic and harmonic functions with values in Banach space
• Extremal integral representations
• Optimization of functions on certain subsets of Banach spaces
• Moduli of non-dentability and the Radon-Nikodým property in Banach spaces
• Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\).
• Plurisubharmonic functions on quasi-Banach spaces
• 𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets
• Analytic functions in non-locally convex spaces and applications
• Approximation of Jensen Measures by Image Measures Under Holomorphic Functions and Applications
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Factorization of Analytic Functions with Values in Non-Commutative L₁-spaces and Applications
• Pluriharmonically dentable complex Banach spaces.
• On martingales with values in a complex Banach space
• Vector-Valued Analytic Functions
• Convergence of Baire measures
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item