Two-parameter maximal functions associated with degenerate homogeneous surfaces in ℝ³
Gianfranco Marletta, Fulvio Ricci, Jacek Zienkiewicz (1998)
Studia Mathematica
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Gianfranco Marletta, Fulvio Ricci, Jacek Zienkiewicz (1998)
Studia Mathematica
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Pablo Galindo, Domingo Garciá, Manuel Maestre, Jorge Mujica (1994)
Studia Mathematica
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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...
J. Cohn (1972)
Acta Arithmetica
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Krzysztof Stempak (1996)
Studia Mathematica
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We prove an equiconvergence theorem for Laguerre expansions with partial sums related to partial sums of the (non-modified) Hankel transform. Combined with an equiconvergence theorem recently proved by Colzani, Crespi, Travaglini and Vignati this gives, via the Carleson-Hunt theorem, a.e. convergence results for partial sums of Laguerre function expansions.
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.
Sagun Chanillo, David Watson, Richard Wheeden (1993)
Studia Mathematica
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We prove two-weight norm estimates for fractional integrals and fractional maximal functions associated with starlike sets in Euclidean space. This is seen to include general positive homogeneous fractional integrals and fractional integrals on product spaces. We consider both weak type and strong type results, and we show that the conditions imposed on the weight functions are fairly sharp.
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.