Erweiterung eines Satzes von J. Korevaar.
Espace de Teichmüller
Essai sur l'étude des fonctions données par leur développement de Taylor
Essai sur une maniére de représenter les quantités imaginaires dans les constructions géométriques [Book]
Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space
In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.
Essential norm of the difference of composition operators on Bloch space
Let and be holomorphic self-maps of the unit disk, and denote by , the induced composition operators. This paper gives some simple estimates of the essential norm for the difference of composition operators from Bloch spaces to Bloch spaces in the unit disk. Compactness of the difference is also characterized.
Essential norm of weighted composition operator between -Bloch space and -Bloch space in polydiscs.
Essential normality for certain finite linear combinations of linear-fractional composition operators on the Hardy space
In 1999 Nina Zorboska and in 2003 P. S. Bourdon, D. Levi, S. K. Narayan and J. H. Shapiro investigated the essentially normal composition operator , when is a linear-fractional self-map of . In this paper first, we investigate the essential normality problem for the operator on the Hardy space , where is a bounded measurable function on which is continuous at each point of , , and is the Toeplitz operator with symbol . Then we use these results and characterize the essentially normal...
Essential norms of weighted composition operators between Hardy spaces and for 1 ≤ p,q ≤ ∞
We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces and for 1 ≤ p,q ≤ ∞. In particular we give some estimates for the cases 1 = p ≤ q ≤ ∞ and 1 ≤ q < p ≤ ∞.
Essential norms of weighted composition operators on the space of Dirichlet series
We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
Essential singular points of solutions of an algebraic differential equation.
Essential singularities of quasimeromorphic mappings.
Essential spectra of weighted composition operators with hyperbolic symbols
In this paperwe study both the spectra and the essential spectra ofweighted composition operators on Hardy spaces Hp(ⅅ), standard weighted Bergman spaces Apα(ⅅ) and weighted H∞1-type spaces when the symbols are of hyperbolic type
Estimates for asymptotically conformal mappings.
Estimates for capacities, and approximation in Lipschitz norms.
Estimates for integral means of hyperbolically convex functions.
Estimates for polynomials in the unit disk with varying constant terms
Let || · || be the uniform norm in the unit disk. We study the quantities Mn (α) := inf (||zP(z) + α|| - α) where the infimum is taken over all polynomials P of degree n - 1 with ||P(z)|| = 1 and α > 0. In a recent paper by Fournier, Letac and Ruscheweyh (Math. Nachrichten 283 (2010), 193-199) it was shown that infα>0Mn (α) = 1/n. We find the exact values of Mn (α) and determine corresponding extremal polynomials. The method applied uses known cases of maximal ranges of polynomials.
Estimates for quasiconformal mappings onto canonical domains.
Estimates for some functionals of bounded nonvanishing functions.
Estimates for the energy integral of quasiregular mappings on Riemannian manifolds and isoperimetry
The rate of growth of the energy integral of a quasiregular mapping is estimated in terms of a special isoperimetric condition on . The estimate leads to new Phragmén-Lindelöf type theorems.