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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J. Cohn (1972)
Acta Arithmetica
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A. Odlyzko (1988)
Acta Arithmetica
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Stephen Cohen (1972)
Acta Arithmetica
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E. Szemerédi (1974)
Acta Arithmetica
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Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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Krzysztof Stempak (1996)
Studia Mathematica
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We prove an equiconvergence theorem for Laguerre expansions with partial sums related to partial sums of the (non-modified) Hankel transform. Combined with an equiconvergence theorem recently proved by Colzani, Crespi, Travaglini and Vignati this gives, via the Carleson-Hunt theorem, a.e. convergence results for partial sums of Laguerre function expansions.
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.
Ingemar Wik (1989)
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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.