Remarks on singular convolution operators
Andreas Seeger (1990)
Studia Mathematica
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Andreas Seeger (1990)
Studia Mathematica
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Martin Eichler (1977)
Acta Arithmetica
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Stephen Cohen (1972)
Acta Arithmetica
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K. Roth (1973)
Acta Arithmetica
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Krishnaswami Alladi (1987)
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.
Wojciech Banaszczyk (1993)
Studia Mathematica
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It is proved that if a metrizable locally convex space is not nuclear, then it does not satisfy the Lévy-Steinitz theorem on rearrangement of series.