Carleson embeddings.
Compact composition operators and Carleson measure in the upper half-plane.
Compact composition operators on Hardy-orlicz spaces
Compact Composition Operators on Lorentz Spaces
Compact differences of composition operators on weighted Dirichlet spaces
Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition operators on the Dirichlet space and S 2, the space of analytic functions whose first derivative is in H 2, and then use Calderón’s complex interpolation to extend the results to the general weighted Dirichlet spaces. As a corollary we consider composition operators induced by linear fractional self-maps of the disk.
Compact endomorphisms of
Compact composition operators on , where G is a region in the complex plane, and the spectra of these operators were described by D. Swanton ( Compact composition operators on B(D), Proc. Amer. Math. Soc. 56 (1976), 152-156). In this short note we characterize all compact endomorphisms, not necessarily those induced by composition operators, on , where D is the unit disc, and determine their spectra.
Compact weighted composition operators and fixed points in convex domains.
Compact weighted composition operators and multiplication operators between Hardy spaces.
Compactness and weak compactness of elementary operators on induced by composition operators on
Compactness of composition operators acting on weighted Bergman-Orlicz spaces
We characterize compact composition operators acting on weighted Bergman-Orlicz spaces , where α > -1 and ψ is a strictly increasing, subadditive convex function defined on [0,∞) and satisfying ψ(0) = 0, the growth condition and the Δ₂-condition. In fact, we prove that is compact on if and only if it is compact on the weighted Bergman space .
Complex symmetric weighted composition operators on the Hardy space
This paper identifies a class of complex symmetric weighted composition operators on that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.
Composition in ultradifferentiable classes
We characterize stability under composition of ultradifferentiable classes defined by weight sequences M, by weight functions ω, and, more generally, by weight matrices , and investigate continuity of composition (g,f) ↦ f ∘ g. In addition, we represent the Beurling space and the Roumieu space as intersection and union of spaces and for associated weight sequences, respectively.
Composition operator on Bergman-Orlicz space.
Composition operators and multiplication operators on weighted spaces of analytic functions.
Composition operators and the Hilbert matrix
The Hilbert matrix acts on Hardy spaces by multiplication with Taylor coefficients. We find an upper bound for the norm of the induced operator.
Composition operators between generally weighted Bloch spaces of polydisk.
Composition operators between generally weighted Bloch spaces and space.
Composition operators between weighted spaces of holomorphic functions on Banach spaces.
Composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk
We characterize the boundedness and compactness of composition operators from weighted Bergman-Privalov spaces to Zygmund type spaces on the unit disk.
Composition operators in hyperbolic -classes.