Product-Type Operators on the Zygmund Space

Zhu, Xiangling; Abbasi, Ebrahim; Ebrahimi, Ali

doi:10.1007/s40995-021-01138-9

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…, n ∈ N 0 , and characterize the boundedness and compactness of T n u,v,ϕ from a general space to Bloch-type space. Subsequently, Abbasi and Zhu et al in [3,32] characterized the boundedness, compactness and essential norm of T n u,v,ϕ from or to Zygmund-type space. In [2], Abbasi investigated the boundedness, compactness and essential norm of T n u,v,ϕ from Hardy space to nth weighted-type space.…”

Section: Introductionmentioning

confidence: 99%

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Guo

2022

Preprint

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Let u, v be the analytic functions on the open unit disk D in the complex plane, \varphi the analytic self-map of D and m a nonnegative integer, n a positive integer that is greater than m. We consider the generalized Stevi\’{c}-Sharma type operator T_{u,v,\varphi}^{m,n}f(z)=u(z)f^{(m)}(\varphi(z))+v(z)f^{(n)}(\varphi(z)) acting from the derivative Hardy spaces into Zygmund-type spaces, and investigate its boundedness, essential norm and compactness in this paper.

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Section: Introductionmentioning

confidence: 99%

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Guo

2022

Preprint

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Product-Type Operators from Hardy Spaces to Bloch-Type Spaces and Zygmund-Type Spaces

Guo

Liu

2022

Numerical Functional Analysis and Optimization

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Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Guo¹,

2023

MATH

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<abstract><p>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 $. In this paper, we consider the generalized Stević-Sharma type operator $ T_{u, v, \varphi}^{m, n}f(z) = u(z)f^{(m)}(\varphi(z))+v(z)f^{(n)}(\varphi(z)) $ acting from the derivative Hardy spaces into Zygmund-type spaces, and investigate its boundedness, essential norm and compactness.</p></abstract>

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Product-Type Operators on the Zygmund Space

Cited by 3 publications

References 19 publications

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

Product-Type Operators from Hardy Spaces to Bloch-Type Spaces and Zygmund-Type Spaces

Generalized Stević-Sharma type operators from derivative Hardy spaces into Zygmund-type spaces

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