A converse to Littlewood-type theorem for random Dirichlet series

@misc{chen2026converse,
  title = {{A converse to Littlewood-type theorem for random Dirichlet series}},
  author = {Jiale Chen and Min He and Maofa Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17876},
  eprint = {2610.17876},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17876},
}

TY  - UNPB
TI  - A converse to Littlewood-type theorem for random Dirichlet series
AU  - Jiale Chen
AU  - Min He
AU  - Maofa Wang
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.17876
UR  - https://arxiv.org/abs/2610.17876
AB  - This article investigates random Dirichlet series within the framework of Hardy and mixed norm spaces of Dirichlet series. We completely characterize when the random symbol space of the Hardy space ℋ^p coincides with ℋ^2. In the setting of mixed norm spaces ℋ^p,q_α, the corresponding characterizations for the random symbol space of ℋ^p,q_α coinciding with ℋ^2,q_α are given when q≥4, and some sufficient and necessary conditions are established when q<4. We also obtain some integrability results when Dirichlet series belong to the corresponding random symbol spaces.
ER  -