Boundary behaviour of positive harmonic functions on Lipschitz domains.
Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Zoltan Balogh, Alexander Volberg (1996)
Revista Matemática Iberoamericana
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Ebenfelt, P., Khavinson, D., Shapiro, H. S. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Michael O'Neill (1999)
Colloquium Mathematicae
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Shiying Zhao (1994)
Studia Mathematica
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The following results concerning boundary behavior of subharmonic functions in the unit ball of are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek’s theorem on the -nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
Martin Silverstein, Richard Wheeden (1971)
Studia Mathematica
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Wen Sheng Wang (1995)
Revista Matemática Iberoamericana
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In any C domain, there is nonzero harmonic function C continuous up to the boundary such that the function and its gradient on the boundary vanish on a set of positive measure.
A. Szybiak (1959)
Annales Polonici Mathematici
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Josef Král, Jaroslav Lukeš (1973)
Časopis pro pěstování matematiky
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Jones, Peter W., Smirnov, Stanislav K. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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