Results 41 to 50 of about 4,637,538 (347)

Composition operators from harmonic $ \mathcal{H}^{\infty} $ space into harmonic Zygmund space

AIMS Mathematics, 2023
This research paper sought to characterize the boundedness and compactness of composition operators from the space $ \mathcal{H}^{\infty} $ of bounded harmonic mappings into harmonic Zygmund space $ \mathcal{Z}_H $, on the open unit disk. Furthermore, we
Munirah Aljuaid, Mahmoud Ali Bakhit
doaj   +1 more source

Sum of some product-type operators from mixed-norm spaces to weighted-type spaces on the unit ball

AIMS Mathematics, 2022
Let $ u_{j} $ be the holomorphic functions on the open unit ball $ \mathbb{B} $ in $ \mathbb{C}^{n} $, $ j = \overline{0, m} $, $ \varphi $ a holomorphic self-map of $ \mathbb{B} $, and $ \Re^{j} $ the $ j $th iterated radial derivative operator. In this
Cheng-shi Huang , Zhi-jie Jiang, Yan-fu Xue   +2 more
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Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

AIMS Mathematics, 2023
Let $ u, v $ be two analytic functions on the open unit disk $ {\mathbb D} $ in the complex plane, $ \varphi $ an analytic self-map of $ {\mathbb D} $, and $ m, n $ nonnegative integers such that $ m < n $.
Zhitao Guo , Jianyong Mu
doaj   +1 more source

The essential spectrum, norm, and spectral radius of abstract multiplication operators

Concrete Operators, 2023
Let EE be a complex Banach lattice and TT is an operator in the center Z(E)={T:∣T∣≤λIfor someλ}Z\left(E)=\left\{T:| T| \le \lambda I\hspace{0.33em}\hspace{0.1em}\text{for some}\hspace{0.1em}\hspace{0.33em}\lambda \right\} of EE. Then, the essential norm ‖
Schep Anton R.
doaj   +1 more source

Boundedness and Essential Norm of an Operator between Weighted-Type Spaces of Holomorphic Functions on a Unit Ball

Axioms, 2023
The boundedness of a sum-type operator between weighted-type spaces is characterized and its essential norm is estimated.
Stevo Stević, Sei-Ichiro Ueki
doaj   +1 more source

Essential normality, essential norms and hyperrigidity

Journal of Functional Analysis, 2015
28 ...
Matthew Kennedy, Orr Moshe Shalit
openaire   +3 more sources

Essential Norm of the Weighted Composition Operators Between Growth Space [PDF]

Sahand Communications in Mathematical Analysis
For $\alpha>0$, the growth space $\mathcal{A}^{-\alpha}$ is the space of all function $f\in H(\DD)$ such that $$\left\|f\right\|_{\mathcal{A}^{-\alpha}}=\sup_{z\in\DD}\left(1-\left|z\right|^2\right)^\alpha \left|f(z)\right|
Ebrahim Abbasi, Mostafa Hassanlou
doaj   +1 more source

Norms of a Product of Integral and Composition Operators between Some Bloch-Type Spaces

Axioms, 2023
We present some formulas for the norm, as well as the essential norm, of a product of composition and an integral operator between some Bloch-type spaces of analytic functions on the unit ball, in terms of given symbols and weights.
Stevo Stević
doaj   +1 more source

On essential norm of the Neumann operator [PDF]

Mathematica Bohemica, 1992
The author gives an estimate of the essential norm of the Neumann operator. It is shown that under a deformation of the domain investigated by a diffeomorphism, which is conformal on a precisely specified part of the boundary, for the given norm there exists a norm on the space of continuous functions on the boundary of the deformated domain such that ...
openaire   +2 more sources

The Essential Norm of Operators on $A^p_\alpha(\mathbb{B}_n)$ [PDF]

, 2012
In this paper we characterize the compact operators on $A^p_\alpha(\mathbb{B}_n)$ when $1-1$. The main result shows that an operator on $A^p_\alpha(\mathbb{B}_n)$ is compact if and only if it belongs to the Toeplitz algebra and its Berezin transform ...
Mitkovski, Mishko, Suárez, Daniel, Wick, Brett D.   +2 more
core   +2 more sources