Remarks on singular convolution operators
Andreas Seeger (1990)
Studia Mathematica
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Andreas Seeger (1990)
Studia Mathematica
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Leszek Skrzypczak (1997)
Studia Mathematica
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We give the atomic decomposition of the inhomogeneous Besov spaces defined on symmetric Riemannian spaces of noncompact type. As an application we get a theorem of Bernstein type for the Helgason-Fourier transform.
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...
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.
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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Piotr Mormul (1988)
Studia Mathematica
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D. Coray (1976)
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.