Displaying similar documents to “Lipschitz spaces and Calderón-Zygmund operators associated to non-doubling measures.”

Regulators and total positivity.

Eduardo Friedman (2007)

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[Proceedings of the (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

Some problems in number theory that arise from group theory.

Alexander Moretó (2007)

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In this expository paper, we present several open problerns in number theory that have arisen while doing research in group theory. These problems are on arithmetical functions or partitions. Solving some of these problems would allow to solve some open problem in group theory. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

An overlapping theorem with applications.

Javier Cilleruelo, Gérald Tenenbaum (2007)

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We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].

Counting colorings on varieties.

Fernando Rodríguez-Villegas (2007)

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We present a combinatorial mechanism for counting certain objects associated to a variety over a finite field. The basic example is that of counting conjugacy classes of the general linear group. We discuss how the method applies to counting these and also to counting unipotent matrices and pairs of commuting matrices. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)]. ...

Note on coarea formulae in the Heisenberg group.

Valentino Magnani (2004)

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We show a first nontrivial example of coarea formula for vector-valued Lipschitz maps defined on the three dimensional Heisenberg group. In this coarea formula, integration on level sets is performed with respect to the 2-dimensional spherical Hausdorff measure, built by the Carnot-Carathéodory distance. The standard jacobian is replaced by the so called horizontal jacobian, corresponding to the jacobian of the Pansu differential of the Lipschitz map. Joining previous results, we achieve...

A note on 2-dimensional arithmetic symbols on Gl(n, Σ).

Fernando Pablos Romo (2007)

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The aim of this note is to offer a summary of the definitions and properties of arithmetic symbols on the linear group Gl(n, F) -F being an arbitrary discrete valuation field- and to show that the natural generalizations of the Parshin symbol on an algebraic surface S to the linear group Gl(n, ΣS) do not allow us to define new 2-dimensional symbols on S. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova...

Dynamics of symmetric holomorphic maps on projective spaces.

Kohei Ueno (2007)

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We consider complex dynamics of a holomorphic map from P to P, which has symmetries associated with the symmetric group S acting on P, for each k ≥1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.

Thetanullwerte: from periods to good equations.

Jordi Guàrdia (2007)

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We will show the utility of the classical Jacobi Thetanullwerte for the description of certain period lattices of elliptic curves, providing equations with good arithmetical properties. These equations will be the starting point for the construction of families of elliptic curves with everywhere good reduction. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)]. ...