A generalization of the conjugate Hardy $H^2$ spaces
Complex Variables
2023-07-31 v1
Abstract
In this article, we consider a generalization of the conjugate Hardy spaces, and give some properties of the minimal norm of the generalization and some relations between the norm of the generalization and the minimal integrals. As applications, we give some monotonicity results for the conjugate Hardy kernels and the Bergman kernels on planar regions, and some relations between the conjugate Hardy kernels and the Bergman kernels on planar regions.
Keywords
Cite
@article{arxiv.2307.15446,
title = {A generalization of the conjugate Hardy $H^2$ spaces},
author = {Qi'an Guan and Zheng Yuan},
journal= {arXiv preprint arXiv:2307.15446},
year = {2023}
}
Comments
22 pages, all comments are welcome!