A boundary Harnack principle for infinity-Laplacian and some related results.
Bhattacharya, Tilak (2007)
Boundary Value Problems [electronic only]
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Bhattacharya, Tilak (2007)
Boundary Value Problems [electronic only]
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Carlos Segovia (1969)
Studia Mathematica
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John L. Lewis, Andrew Vogel (2001)
Revista Matemática Iberoamericana
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We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, R, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of R and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.
S. Bergman, M. Schiffer (1952)
Compositio Mathematica
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Bennewitz, Björn, Lewis, John L. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Kaufman, Robert, Llorente, José G., Wu, Jang-Mei (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Carroll, Tom (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Xiao, Jie (1997)
International Journal of Mathematics and Mathematical Sciences
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Joan Mateu, Joan Verdera Melenchón (1988)
Revista Matemática Iberoamericana
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The spectral synthesis theorem for Sobolev spaces of Hedberg and Wolff [7] has been applied in combination with duality, to problems of L approximation by analytic and harmonic functions. In fact, such applications were one of the main motivations to consider spectral synthesis problems in the Sobolev space setting. In this paper we go the opposite way in the context of the BMO-H duality: we prove a BMO approximation theorem by harmonic functions and then we apply the ideas in its proof...
Antoni Zygmund (1949)
Fundamenta Mathematicae
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Zoltan Balogh, Alexander Volberg (1996)
Revista Matemática Iberoamericana
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