Calcul des résidus en analyse -adique
Calculating Singular Integrals as an Ill-posed Problem.
Calderón's problem for Lipschitz classes and the dimension of quasicircles.
In the last years the mapping properties of the Cauchy integralCΓf(z) = 1/(2πi) ∫Γ [f(ξ) / ξ - z] dξhave been widely studied. The most important question in this area was Calderón's problem, to determine those rectifiable Jordan curves Γ for which CΓ defines a bounded operator on L2(Γ). The question was solved by Guy David [Da] who proved that CΓ is bounded on L2(Γ) (or on Lp(Γ), 1 < p < ∞) if and only if Γ is regular, i.e.,H1(Γ ∩ B(z0,R) ≤ CRfor every z0 ∈ C, R > 0 and for...
Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
Canonical bases for -modules of spherical monogenics in dimension 3
Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as -modules. As finite-dimensional irreducible -modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Gürlebeck in [3]. Moreover, we obtain simple expressions of elements of these bases in terms of the Legendre polynomials.
Canonical conjugations at fixed points other than the Denjoy-Wolff point.
Canonical curves and quadrics of rank 4
Canonical mappings in
Canonical metric on the domain of discontinuity of a kleinian group
Canonical products of infinite order.
Cantor bouquets, explosions, and Knaster continua: dynamic of complex exponentials.
We describe some of the interesting dynamical and topological properties of the complex exponential family λez and its associated Julia sets.
Capacité analytique et le problème de Painlevé
Le problème de Painlevé consiste à trouver une caractérisation géométrique des sous-ensembles du plan complexe qui sont effaçables pour les fonctions holomorphes bornées. Ce problème d’analyse complexe a connu ces dernières années des avancées étonnantes, essentiellement grâce au dévelopement de techniques fines d’analyse réelle et de théorie de la mesure géométrique. Dans cet exposé, nous allons présenter et discuter une solution proposée par X. Tolsa en termes de courbure de Menger au problème...
Capacity relations in a flat quadrilateral.
Capacity theory on algebraic curves and canonical heights
Capacity theory on varieties
Caractérisation des dérivées logarithmiques
Carlemann Approximation on Riemann Surfaces.
Carleson measure and monogenic functions
We present necessary and sufficient conditions for a measure to be a p-Carleson measure, based on the Poisson and Poisson-Szegő kernels of the n-dimensional unit ball.
Carleson measure, atomic decomposition and free interpolation from Bloch space.
Carleson measures and Toeplitz operators on small Bergman spaces on the ball
We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip’s results from the unit disk of to the unit ball of . We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten classes membership of Toeplitz operators for .