Surface integrals and harmonic functions.
Movshovich, Yevgenya (2005)
Journal of Inequalities and Applications [electronic only]
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Movshovich, Yevgenya (2005)
Journal of Inequalities and Applications [electronic only]
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Snipes, Marie A., Ward, Lesley A. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Ewa Ligocka (1999)
Annales Polonici Mathematici
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We study series expansions for harmonic functions analogous to Hartogs series for holomorphic functions. We apply them to study conjugate harmonic functions and the space of square integrable harmonic functions.
Caffarelli, Luis A., Karp, Lavi, Shahgholian, Henrik (2000)
Annals of Mathematics. Second Series
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Miloš Arsenović, Romi F. Shamoyan (2013)
Kragujevac Journal of Mathematics
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Zoltan Balogh, Alexander Volberg (1996)
Revista Matemática Iberoamericana
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Jones, P.W., Poltoratski, A.G. (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Martin Silverstein, Richard Wheeden (1971)
Studia Mathematica
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Lorent, Andrew (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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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.