An Erdös-Kac theorem for integers without large prime factors
Krishnaswami Alladi (1987)
Acta Arithmetica
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Krishnaswami Alladi (1987)
Acta Arithmetica
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M. Z. Krzywoblocki (1963)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Alexander Abian (1976)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
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Gianfranco Marletta, Fulvio Ricci, Jacek Zienkiewicz (1998)
Studia Mathematica
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Krzysztof Bogdan (1997)
Studia Mathematica
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We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric stable processes. We prove that if two such functions vanish continuously outside the domain near a part of its boundary, then their ratio is bounded near this part of the boundary.
Stephen Cohen (1972)
Acta Arithmetica
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Ingemar Wik (1989)
Studia Mathematica
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Krzysztof Bogdan, Tomasz Byczkowski (1999)
Studia Mathematica
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The purpose of the paper is to extend results of the potential theory of the classical Schrödinger operator to the α-stable case. To obtain this we analyze a weak version of the Schrödinger operator based on the fractional Laplacian and we prove the Conditional Gauge Theorem.