Cardinal Invariants Bk and Tk
Saharon Shelah, Zoran Spasojević (2002)
Publications de l'Institut Mathématique
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Saharon Shelah, Zoran Spasojević (2002)
Publications de l'Institut Mathématique
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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.
Martin Eichler (1977)
Acta Arithmetica
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D. Coray (1976)
Acta Arithmetica
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Steve Hofmann (1994)
Studia Mathematica
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We formulate a version of the T1 theorem which enables us to treat singular integrals whose kernels need not satisfy the usual smoothness conditions. We also prove a weighted version. As an application of the general theory, we consider a class of multilinear singular integrals in related to the first Calderón commutator, but with a kernel which is far less regular.
Krishnaswami Alladi (1987)
Acta Arithmetica
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Andrew Kepert (1994)
Studia Mathematica
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The existence of a projection onto an ideal I of a commutative group algebra depends on its hull Z(I) ⊆ Ĝ. Existing methods for constructing a projection onto I rely on a decomposition of Z(I) into simpler hulls, which are then reassembled one at a time, resulting in a chain of projections which can be composed to give a projection onto I. These methods are refined and examples are constructed to show that this approach does not work in general. Some answers are also given to previously...