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

Guo, Zhitao; Liu, Linlin

doi:10.1080/01630563.2022.2097693

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article2

Preprint1

Relationship

Self Cite1

Independent2

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [2], Abbasi investigated the boundedness, compactness and essential norm of T n u,v,ϕ from Hardy space to nth weighted-type space. The first author et al studied the boundedness and compactness of T n u,v,ϕ from Hardy space [11] and Q k (p, q) space [14] to Zygmund-type space or Bloch-type space.…”

Section: Introductionmentioning

confidence: 99%

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

Guo

2022

Preprint

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Guo

2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball

Guo

2022

Complex Anal. Oper. Theory

View full text Add to dashboard Cite

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

Guo¹,

2023

MATH

View full text Add to dashboard Cite

<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>

show abstract

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

Cited by 3 publications

References 28 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

On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball

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

Contact Info

Product

Resources

About