On a problem of Davenport and Schinzel
E. Szemerédi (1974)
Acta Arithmetica
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E. Szemerédi (1974)
Acta Arithmetica
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Krishnaswami Alladi (1987)
Acta Arithmetica
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J. Cohn (1972)
Acta Arithmetica
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Stephen Cohen (1972)
Acta Arithmetica
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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.
Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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Sagun Chanillo, David Watson, Richard Wheeden (1993)
Studia Mathematica
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We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.
Lewiner, Thomas, Lopes, Hélio, Tavares, Geovan (2003)
Experimental Mathematics
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