Best Filters for the General Fatou Boundary Limit Theorem

DOI10.2307/2160902zbMath0817.31001OpenAlexW4233045702MaRDI QIDQ4318428

Peter A. Loeb, Jürgen Bliedtner

Publication date: 2 January 1995

Full work available at URL: https://doi.org/10.2307/2160902

zbMATH Keywords

harmonic functionFatou theoremzero setsboundary limits

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Martin boundary theory (31C35) Boundary value problems in the complex plane (30E25) Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (2)

Retracted: New Riesz representations of linear maps associated with certain boundary value problems and their applications ⋮ The optimal differentiation basis and liftings of 𝐿^{∞}

Cites Work

• A measure-theoretic boundary limit theorem
• A regular metrizable boundary for solutions of elliptic and parabolic differential equations
• A reduction technique for limit theorems in analysis and probability theory
• Potential theory. An analytic and probabilistic approach to balayage
• Boundary approach filters for analytic functions
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