Algebraic points on cubic hypersurfaces
D. Coray (1976)
Acta Arithmetica
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D. Coray (1976)
Acta Arithmetica
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Francisco Hernandez, Stanimir Troyanski (1993)
Studia Mathematica
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It is shown that every uncountable symmetric basic set in an F-space with a symmetric basis is equivalent to a basic set generated by one vector. We apply this result to investigate the structure of uncountable symmetric basic sets in Orlicz and Lorentz spaces.
Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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Andreas Seeger (1990)
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.
Piotr Mormul (1988)
Studia Mathematica
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D. Heath-Brown (1988)
Acta Arithmetica
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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.