混合范数空间到zygmund型空间的Stević-Sharma算子

IF 0.9 4区数学 Q2 MATHEMATICS

Mathematical Inequalities & Applications Pub Date : 2021-01-01 DOI:10.7153/MIA-2021-24-31

Zhitao Guo, Lingjun Liu, Yonglu Shu

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引用次数: 16

摘要

。设φ是单位圆盘D的解析自映射，H (D)是D上所有解析函数的空间，ψ 1， ψ 2∈H (D)。本文研究了从混合范数空间H (p, q， φ)到zyg - mond型空间Z μ和小zyg - mond型空间Z μ 0的Stevi´c-Sharma算子T ψ 1， ψ 2， φ = ψ 1·f◦φ + ψ 2·f (cid:5)◦φ的有界性和紧性。

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On Stević-Sharma operator from the mixed-norm spaces to Zygmund-type spaces

. Let ϕ be an analytic self-map of the unit disk D , H ( D ) the space of all analytic functions on D , and ψ 1 , ψ 2 ∈ H ( D ) . The boundedness and compactness of Stevi´c-Sharma operator T ψ 1 , ψ 2 , ϕ f = ψ 1 · f ◦ ϕ + ψ 2 · f (cid:5) ◦ ϕ from the mixed-norm space H ( p , q , φ ) to Zyg-mund-type space Z μ and little Zygmund-type space Z μ 0 are investigated in this paper.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.