Fractional Volterra-type operators on Hardy spaces

A family of non-trivial paraproducts acting on $H(\mathbb {D})$, the space of analytic functions over the open unit disk in the complex plane, are introduced and studied. We first establish their existence and the associated reconstruction formulae. A nat

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Publication Details

Journal
Studia Mathematica
Published
2025-01-01
DOI
https://doi.org/10.4064/sm240226-14-1
Citations
2
Primary Topic
Advanced Harmonic Analysis Research
Type
article
Field-Weighted Citation Impact
7.45

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article

Fractional Volterra-type operators on Hardy spaces

Xiang Fang, Feng Guo, Shengzhao Hou, Zhu Xiao-lin
2 citations
Studia Mathematica
Advanced Harmonic Analysis Research
7.45
article

Fractional Volterra-type operators on Hardy spaces

Xiang Fang, Feng Guo, Shengzhao Hou, Zhu Xiao-lin
article en
2 citations

Abstract

A family of non-trivial paraproducts acting on $H(\mathbb {D})$, the space of analytic functions over the open unit disk in the complex plane, are introduced and studied. We first establish their existence and the associated reconstruction formulae. A nat

Studia MathematicaVol. 283(1)
National Yang Ming Chiao Tung University (TW), Taiyuan Normal University (CN), Soochow University (CN), Nanjing University of Aeronautics and Astronautics (CN)
National Natural Science Foundation of China, National Science and Technology Council
Openalex Percentile: Top 4%
Advanced Harmonic Analysis Research
7.45
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