Work

The Local Embedding Problem for Hardy Spaces of Dirichlet Series

Year: 2026

Type: preprint

Abstract: We solve the local embedding problem for Hardy spaces of Dirichlet series, which is a dimension-free trace problem asking whether the global $\mathscr{H}^p$-norm controls local $L^p$-mass on the critical line $\operatorname{Re}s=1/2$. More precisely, for every $2

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.11560

Authors: Chen, Bonan, Fang, Xiang, Guo, Feng, Hou, Shengzhao, Shao, Yizhou, Zhou, Qi

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science and Technology Council, National Natural Science Foundation of China, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province, National Science and Technology Council

Awards: Some Problems on Random Analytic Functions When the Symbol Space Is the Marcus-Pisier Space, G982734332

OpenAlex ID: W7212274901

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