Results 21 to 30 of about 386,373 (206)

Composition operators [PDF]

Bulletin of the Australian Mathematical Society, 1978
A study of centered composition operators on l2 is made in this paper. Also the spectrum of surjective composition operators is computed. A necessary and sufficient condition is obtained for the closed unit disc to be the spectrum of a surjective composition operator.
Singh, R. K., Komal, B. S.
openaire   +2 more sources

Compact composition operators on Bergman-Orlicz spaces [PDF]

, 2010
We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal, Li, Daniel, Queffélec, Hervé, Rodriguez-Piazza, Luis   +3 more
core   +3 more sources

Hardy spaces of generalized analytic functions and composition operators

Concrete Operators, 2018
We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more
Pozzi Elodie
doaj   +1 more source

Universal Sequences of Composition Operators

The Journal of Geometric Analysis, 2023
Let $G$ and $ $ be two planar domains. We give necessary and sufficient conditions on a sequence $( _n)$ of eventually injective holomorphic mappings from $G$ to $ $ for the existence of a function $f\in H( )$ whose orbit under the composition by $( _n)$ is dense in $H(G)$.
Charpentier, S., Mouze, Augustin
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On Unbounded Composition Operators in $L^2$-Spaces

, 2012
Fundamental properties of unbounded composition operators in $L^2$-spaces are studied. Characterizations of normal and quasinormal composition operators are provided. Formally normal composition operators are shown to be normal.
A Brown, A Brown, A Daniluk, A Lambert, A Lambert, A Lambert, A Lambert, C Berg, Ch. Burnap, D Harrington, E Nordgren, EA Coddington, EA Coddington, FH Szafraniec, G Biriuk, Il Bong Jung, J Janas, J Stochel, J Stochel, J Stochel, J Stochel, J Stochel, J Stochel, J Stochel, J Weidmann, Jan Stochel, JB Conway, JT Campbell, K Schmüdgen, K Schmüdgen, K Schmüdgen, M.R. Embry-Wardrop, MM Rao, MR Embry, MR Embry-Wardrop, N Dunford, P Budzyński, P Dibrell, Piotr Budzyński, PR Halmos, PR Halmos, R Whitley, RK Singh, RK Singh, RK Singh, S Kouchekian, S Ôta, T. Veluchamy, W Mlak, W Rudin, Zenon Jan Jabłoński, ZJ Jabłonski, ZJ Jabłoński   +52 more
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Iteration of Composition Operators on small Bergman spaces of Dirichlet series

Concrete Operators, 2018
The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
doaj   +1 more source

Weighted composition operators between different Fock spaces

, 2017
We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path ...
Khoi, Le Hai, Tien, Pham Trong
core   +1 more source

Inequalities for the composition of Green’s operator and the potential operator [PDF]

Journal of Inequalities and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Zhimin, Xing, Yuming, Ding, Shusen, Wang, Yong   +3 more
openaire   +1 more source

Growth Spaces on Circular Domains Taking Values in a Banach Lattice, Embeddings and Composition Operators

Mathematics
We introduce the space of holomorphic growth spaces with values in a Banach lattice. We provide norm and essential norm estimates of the embedding operator, and we completely characterize the bounded and compact embeddings of the growth spaces using ...
Nihat Gökhan Göğüş
doaj   +1 more source

Spectra of Compact Composition Operators [PDF]

Proceedings of the American Mathematical Society, 1975
Let ϕ \phi be holomorphic and map the open unit disk into itself, and let C ϕ : f → f ∘ ϕ {C_\phi }:f \to f \circ \phi be the composition operator on H 2 {H^2} generated ...
Caughran, James G., Schwartz, Howard J.
openaire   +1 more source