Composition operators from the Hardy space to the Zygmund-type space on the upper half-plane.
Composition operators in hyperbolic -classes.
Composition operators in the Dirichlet series setting
In this work, we begin with a survey of composition operators on the Hardy space H² and on the Wiener algebra A⁺ of absolutely convergent Taylor series, with special emphasis on their compactness, or invertibility, or isometric character. The main results are due respectively to J. Shapiro and D.~Newman. In a second part, we present more recent results, due to Gordon and Hedenmalm on the one hand, and to Bayart, the author et al. on the other hand, concerning the analogues of H² and A⁺ in the setting...
Composition operators: to the Bloch space to
Let ,B and Qβ be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and are Möbius invariant, but is not. We characterize, in function-theoretic terms, when the composition operator induced by an analytic self-map ϕ of the unit disk defines an operator , , which is bounded resp. compact.
Composition operators on
Composition operators on the Bergman space
Composition operators on the Dirichlet space and related problems.
Composition operators on W 1 X are necessarily induced by quasiconformal mappings
Let Ω ⊂ ℝn be an open set and X(Ω) be any rearrangement invariant function space close to L q(Ω), i.e. X has the q-scaling property. We prove that each homeomorphism f which induces the composition operator u ↦ u ℴ f from W 1 X to W 1 X is necessarily a q-quasiconformal mapping. We also give some new results for the sufficiency of this condition for the composition operator.
Compositions of maps and hypermaps. (Compositions des cartes et hypercartes.)
Comprehensive family of -uniformly harmonic starlike functions
Computation of Period Matrices of Real Algebraic Curves*
Computation of Poisson type integrals.
Computational complexity. On the geometry of polynomials and a theory of cost. I
Computing Elliptic Integrals by Duplication.
Computing the generating function of a series given its first few terms.
Concave functions, Blaschke products, and polygonal mappings.
Concave schlicht functions with bounded opening angle at infinity.
Concordant sequences and integral-valued entire functions
A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.
Conditions for Carathéodory functions.
Conditions of analyticity for functions of one complex variable.