Planar harmonic univalent and related mappings.
Plane elliptic systems and monogenic functions in symmetric domains
Plane wave decompositions of monogenic functions
Plane waves, biregular functions and hypercomplex Fourier analysis
Pleating coordinates for the Earle embedding
Plücker relations for p(e...).
Pluriregular, plurigeneralized regular equations in Clifford analysis.
Poincaré series and holomorphic averaging.
Poincaré series and negatively curved manifolds.
Point estimation and the convergence of the Ehrlich-Aberth method.
Point shift differentials and extremal quasiconformal mappings.
Point Systems with Extremal Properties and Conformal Mapping.
Pointed -surfaces
Let be a Riemann surface. Let be the -dimensional hyperbolic space and let be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping . If is a convex immersion, and if is its exterior normal vector field, we define the Gauss lifting, , of by . Let be the Gauss-Minkowski mapping. A solution to the Plateau problem is a convex immersion of constant Gaussian curvature equal to such that the Gauss lifting is complete and . In this paper, we show...
Pointwise and locally uniform convergence of holomorphic and harmonic functions.
Pointwise and locally uniform convergence of holomorphic and harmonic functions
We shall characterize the sets of locally uniform convergence of pointwise convergent sequences. Results obtained for sequences of holomorphic functions by Hartogs and Rosenthal in 1928 will be generalized for many other sheaves of functions. In particular, our Hartogs-Rosenthal type theorem holds for the sheaf of solutions to the second order elliptic PDE's as well as it has applications to the theory of harmonic spaces.
Pointwise inequalities of logarithmic type in Hardy-Hölder spaces
We prove some optimal logarithmic estimates in the Hardy space with Hölder regularity, where is the open unit disk or an annular domain of . These estimates extend the results established by S. Chaabane and I. Feki in the Hardy-Sobolev space of the unit disk and those of I. Feki in the case of an annular domain. The proofs are based on a variant of Hardy-Landau-Littlewood inequality for Hölder functions. As an application of these estimates, we study the stability of both the Cauchy problem...
Polarization, conformal invariants and Brownian motion.
Polyanalytic Besov spaces and approximation by dilatations
Using partial derivatives and , we introduce Besov spaces of polyanalytic functions in the open unit disk, as well as in the upper half-plane. We then prove that the dilatations of functions in certain weighted polyanalytic Besov spaces converge to the same functions in norm. When restricted to the open unit disk, we prove that each polyanalytic function of degree can be approximated in norm by polyanalytic polynomials of degree at most .
Polya's theorem for non-entire functions
Polygone de Newton et théorème de préparation