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We compute the essential norm of inclusion operators, composition operators and multipliers acting from a closed subspace of some $L^p$-space into a subspace of some $L^q$-space, with $p > q.$

Functional Analysis · Mathematics 2023-06-23 Frédéric Bayart

We complete the different cases remaining in the estimation of the essential norm of a weighted composition operator acting between the Hardy spaces $H^p$ and $H^q$ for $1\leq p,q\leq\infty.$ In particular we give some estimates for the…

Functional Analysis · Mathematics 2011-10-25 Romain Demazeux

We study some important topological properties such as boundedness, compactness and essential norm of differences of weighted composition operators between Fock spaces

Functional Analysis · Mathematics 2017-08-24 Pham Trong Tien , Le Hai Khoi

In this paper, a new characterization is provided for the boundedness, compactness and essential norm of the difference of two weighted composition operators on weighted-type spaces in the unit ball of $\mathbb{C}^n$.

Complex Variables · Mathematics 2018-04-12 Bingyang Hu , Songxiao Li

In this paper, the boundedness and compactness of the difference of composition-differentiation operators $D_\varphi-D_\psi$ acting from Hardy spaces $H^p$ to weighted Bergman spaces $A^q_\alpha$ are completely characterize for all…

Complex Variables · Mathematics 2022-02-21 Yecheng Shi , Songxiao Li

The norm distance between two composition operators is calculated in select cases.

Functional Analysis · Mathematics 2007-05-23 Valentin Matache

In this paper, we completely characterize the order boundedness of weighted composition operators between different weighted Dirichlet spaces and different derivative Hardy spaces.

Functional Analysis · Mathematics 2019-04-15 Qingze Lin , Junming Liu , Yutian Wu

In this paper, we study the boundedness and essential norms of the differences of two generalized composition operators acting from $\alpha$-Bloch space to $\beta$-Bloch space on the open unit disk. From essential norms, we get the…

Complex Variables · Mathematics 2020-04-06 Ning Xu , Ze-Hua Zhou

In this study we consider the approximation numbers of differences of composition operators acting on the Hardy-Hilbert space H 2 (D). We obtain both upper and lower bounds for these approximation numbers and by applying these general…

Functional Analysis · Mathematics 2025-09-25 Frédéric Bayart , Clifford Gilmore , Sibel Sahin

In this paper we investigate weighted composition operators between weak and strong vector valued weighted Bergman spaces and Hardy spaces.

Functional Analysis · Mathematics 2012-11-28 Mostafa Hassanlou , Hamid Vaezi

In this paper we characterize essential norm of composition operators on the spaces of Harmonic Bloch functions. These results extends the similar results that were proven for composition operators on Bloch spaces.

Functional Analysis · Mathematics 2022-02-10 Y. Estaremi , S. Esmaeili , A. Ebadian

In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. Then by using…

Functional Analysis · Mathematics 2018-12-27 Y. Estaremi , S. Esmaili , A. Ebadian

In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch space.

Complex Variables · Mathematics 2015-09-07 Songxiao Li , Ruishen Qian , Jizhen Zhou

We obtain criteria for the boundedness and compactness of weighted composition operators between different Fock spaces in $\mathbb{C}^n$. We also give estimates for essential norm of these operators.

Complex Variables · Mathematics 2018-01-26 Pham Trong Tien , Le Hai Khoi

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…

Complex Variables · Mathematics 2017-04-13 Pham Trong Tien , Le Hai Khoi

In this paper, we introduce a discrete analogue of weighted Hardy spaces on rooted trees and study weighted composition operators between them in detail. In particular, we characterize bounded and compact weighted composition operators…

Functional Analysis · Mathematics 2021-12-16 P. Muthukumar , Ajay K. Sharma , Vivek Kumar

We consider the products of composition and differentiation operators on the Hardy space. We provide a complete characterization of the boundedness and compactness of these operators. Furthermore, we obtain the explicit condition for these…

Functional Analysis · Mathematics 2021-08-17 Mahbube Moradi , Mahsa Fatehi

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B\_d$ and the polydisk $D^d$ .

Functional Analysis · Mathematics 2015-06-01 Daniel Li , Hervé Queffélec , Luis Rodríguez-Piazza

The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the…

Complex Variables · Mathematics 2023-12-11 Shaolin Chen , Hidetaka Hamada

The main purpose of this paper is to discuss Hardy type spaces, Bloch type spaces and the composition operators of complex-valued harmonic functions. We first establish a sharp estimate of the Lipschitz continuity of complex-valued harmonic…

Complex Variables · Mathematics 2022-07-11 Shaolin Chen , Hidetaka Hamada , Jian-Feng Zhu
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