On V. I Smirnov domains.
Jones, Peter W., Smirnov, Stanislav K. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “On the Riemann-Hilbert problem in multiply connected domains”
On V. I Smirnov domains.
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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.
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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.