Boundary values of vector-valued Hardy spaces on nonsmooth domains and the Radon-Nikodym property

DOI10.1215/17358787-3607222zbMath1357.46034OpenAlexW2418743562MaRDI QIDQ307006

Jorge Rivera-Noriega, Hugo Ocampo-Salgado, Luis San Martin

Publication date: 1 September 2016

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

Full work available at URL: https://projecteuclid.org/euclid.bjma/1465230962

zbMATH Keywords

Radon-Nikodým propertynoncylindrical domainsLipschitz domainsFatou-type theoremsvector-valued Hardy spaces

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Vector-valued measures and integration (46G10) Banach spaces of continuous, differentiable or analytic functions (46E15) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Cites Work

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• Vector-valued Hardy spaces in non-smooth domains
• Some remarks on boundary values of vector-valued harmonic and analytic functions
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces
• Boundary properties of analytic and harmonic functions with values in Banach space
• Parabolic maximal functions associated with a distribution
• Estimates of harmonic measure
• Wiener's criterion for the heat equation
• Atomic decomposition of vector Hardy spaces
• \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
• The Initial-Neumann Problem for the Heat Equation in Lipschitz Cylinders
• Area Integral Estimates for Caloric Functions
• Hardy Spaces of Heat Functions
• The Dirichlet problem for second order parabolic operators
• Absolute continuity of parabolic measure and area integral estimates in non-cylindrical domains
• The method of layer potentials for the heat equation in time-varying domains
• H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes
• On the Boundary Values of Harmonic Functions
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• Positive Harmonic Functions on Lipschitz Domains
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values

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