Algebraic points on cubic hypersurfaces
D. Coray (1976)
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.
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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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.
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.