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19952026
most citedThe Gaia mission

7.1k citations

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Showing 2009Show all

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math.FA2009★ 14 cited

Bilinear biorthogonal expansions and the Dunkl kernel on the real line

L. D. Abreu, Ó. Ciaurri, J. L. Varona

We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structu…

math.CA2009

Behavior of weak type bounds for high dimensional maximal operators defined by certain radial measures

J. M. Aldaz, J. Pérez Lázaro

As shown in [A1], the lowest constants appearing in the weak type (1,1) inequalities satisfied by the centered Hardy-Littlewood maximal operator associated to certain finite radial…

math.RA2009

Irreducible Lie-Yamaguti algebras of Generic Type

Pilar Benito, Alberto Elduque, Fabian Martin-Herce

Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irredu…

math.CA2009★ 15 cited

Regularity of the Hardy-Littlewood maximal operator on block decreasing functions

J. M. Aldaz, J. Perez Lazaro

We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decr…

math.CA2009

The best constant for the centered maximal operator on radial decreasing functions

J. M. Aldaz, J. Pérez Lázaro

We show that the lowest constant appearing in the weak type (1,1) inequality satisfied by the centered Hardy-Littlewood maximal operator on radial integrable functions is 1.

math.NA2009

On a new method for controlling exponential processes

O. Kounchev, H. Render

Unlike the classical polynomial case there has not been invented up to very recently a tool similar to the Bernstein-Bezier representation which would allow us to control the behav…