Optimal universal growth for integral means of normalized logarithmic derivatives in the Carath\'eodory class
Complex Variables
2026-03-26 v1
Abstract
We determine the optimal universal growth scale for the integral means of normalized logarithmic derivatives in the Carath\'eodory class. This resolves a problem of D.~K.~Thomas.
Cite
@article{arxiv.2603.23734,
title = {Optimal universal growth for integral means of normalized logarithmic derivatives in the Carath\'eodory class},
author = {Yixin He and Quanyu Tang and Teng Zhang},
journal= {arXiv preprint arXiv:2603.23734},
year = {2026}
}
Comments
9 pages. All comments are welcome!