Canonical mappings in
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
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.
Carlson - Shaffer operator and their application to certain subclasses of uniformly convex functions.
Catching sets with quasicircles.
We show how certain geometric conditions on a planar set imply that the set must lie on a quasicircle, and we give a geometric characterization of all subsets of the plane that are quasiconformally equivalent to the usual Cantor middle-third set.
Cauchy-Szegö integrals for systems of harmonic functions
Certain application of differential subordination associated with generalized derivative operator.
Certain Applications of Differential Subordination
Certain bounded functions of complex order
Certain class of harmonic starlike functions with some missing coefficients.
Certain class of -valent functions defined by Dziok-Srivastava linear operator.
Certain class of uniformly analytic functions.
Certain classes of analytic functions defined by convolution.
Certain classes of analytic functions of complex order.
Certain classes of harmonic multivalent functions based on Hadamard product.
Certain classes of -valent functions associated with Wright's generalized hypergeometric functions.
Certain Classes Of Univalent Analitic Functions.