Fractional Integration on Mixed Norm Spaces. II

Xiaolin Zhu, Xiang Fang, Feng Guo, Shengzhao Hou*

*此作品的通信作者

研究成果: Article同行評審

摘要

In a previous paper Guo et al. (Fractional integration on mixed norm spaces. I. Preprint, 2022), we characterized the boundedness of fractional integration operators between mixed norm spaces over the unit disk. In this paper, we characterize the boundedness between X and Y, where X,Y∈{Hp(0<p<∞),H∞,BMOA,B,H(p,q,α)}.As in Guo et al. (Fractional integration on mixed norm spaces. I. Preprint, 2022), we cover three types of fractional integration: Flett, Hadamard, and Riemann-Liouville, and we consider complex orders t∈ C instead of mere t∈ R. Our findings provide, in particular, a complete answer to a problem started by Flett in 1972 (Theorem C).

原文English
文章編號158
期刊Journal of Geometric Analysis
33
發行號5
DOIs
出版狀態Published - 5月 2023

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