PHH Harmonic Submersions are Stable
Monica Alice Aprodu (2007)
Bollettino dell'Unione Matematica Italiana
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We prove that PHH harmonic submersions are (weakly) stable.
Monica Alice Aprodu (2007)
Bollettino dell'Unione Matematica Italiana
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We prove that PHH harmonic submersions are (weakly) stable.
Premalatha, T. Sowmya (2000)
Annales mathématiques Blaise Pascal
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B. Johnson (1973)
Studia Mathematica
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Eiderman, Vladimir, Essén, Matts (1996)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Petrunin, Anton (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Paweł Sztonyk (2003)
Colloquium Mathematicae
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We investigate properties of harmonic functions of the symmetric stable Lévy process on without the assumption that the process is rotation invariant. Our main goal is to prove the boundary Harnack principle for Lipschitz domains. To this end we improve the estimates for the Poisson kernel obtained in a previous work. We also investigate properties of harmonic functions of Feynman-Kac semigroups based on the stable process. In particular, we prove the continuity and the Harnack inequality...
S. Hartman (1975)
Colloquium Mathematicae
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S. Simić (1979)
Matematički Vesnik
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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.
Jevtić, M. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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