Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

J Bonet - Revista de la Real Academia de Ciencias Exactas …, 2022 - Springer
In this survey we report about recent work on weighted Banach spaces of analytic functions
on the unit disc and on the whole complex plane defined with sup-norms and operators …

Products of composition, multiplication and iterated differentiation operators between Banach spaces of holomorphic functions

S Wang, M Wang, X Guo - Taiwanese Journal of Mathematics, 2020 - JSTOR
Let H (𝔻) denote the space of holomorphic functions on the unit disk 𝔻 of ℂ, ψ, φ∈ H (𝔻), φ
(𝔻)⊂ 𝔻 and n∈ ℕ∪{0}. Let Cφ, Mψ and Dn denote the composition, multiplication and …

[HTML][HTML] Volterra type operators on Sp (D) spaces

Q Lin, J Liu, Y Wu - Journal of Mathematical Analysis and Applications, 2018 - Elsevier
Čučković and Paudyal characterized the lattice of invariant subspaces of the operator T in
the Hardy–Hilbert space H 2 (D), where they studied the special case (when p= 2) of the …

[HTML][HTML] Exact essential norm of generalized Hilbert matrix operators on classical analytic function spaces

M Lindström, S Miihkinen, D Norrbo - Advances in Mathematics, 2022 - Elsevier
We compute the exact value of the essential norm of a generalized Hilbert matrix operator
acting on weighted Bergman spaces A vp and weighted Banach spaces H v∞ of analytic …

Uniform approximation of Bloch functions and the boundedness of the integration operator on H∞

W Smith, DM Stolyarov, A Volberg - Advances in Mathematics, 2017 - Elsevier
Uniform approximation of Bloch functions and the boundedness of the integration operator
on H∞ - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

Intrinsic operators from holomorphic function spaces to growth spaces

N Zorboska - Integral Equations and Operator Theory, 2017 - Springer
We determine the boundedness and compactness of a large class of operators, mapping
from general Banach spaces of holomorphic functions into a particular type of spaces of …

Volterra type operators between Bloch type spaces and weighted Banach spaces

Q Lin - Integral equations and operator theory, 2019 - Springer
When the weight μ μ is more general than normal, the complete characterizations in terms of
the symbol g and weights for the conditions of the boundedness and compactness of T_g …

Volterra-type operators mapping weighted Dirichlet space into

JÁ Peláez, J Rättyä, F Wu - Mathematische Zeitschrift, 2023 - Springer
The problem of describing the analytic functions g on the unit disc such that the integral
operator T g (f)(z)=∫ 0 zf (ζ) g′(ζ) d ζ is bounded (or compact) from a Banach space (or …

Products of composition, multiplication and radial derivative operators between Banach spaces of holomorphic functions on the unit ball

S Wang, M Wang, X Guo - Complex Variables and Elliptic …, 2020 - Taylor & Francis
Let H (B) denote the space of holomorphic functions on the unit ball B of C n, n∈ N, ψ, ϕ∈
H (B), ϕ (B)⊂ B. Let C ϕ, M ψ and R denote the composition, multiplication and radial …

Semigroups of composition operators and integral operators on mixed norm spaces

I Arévalo, MD Contreras… - Revista Matemática …, 2019 - Springer
We characterize the semigroups of composition operators that are strongly continuous on
the mixed norm spaces H (p, q, α) H (p, q, α). First, we study the separable spaces H (p, q, α) …