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arXiv · 2307.15446

A generalization of the conjugate Hardy $H^2$ spaces

Qi'an Guan·Zheng Yuan
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Abstract

In this article, we consider a generalization of the conjugate Hardy $H^2$ spaces, and give some properties of the minimal norm of the generalization and some relations between the norm of the generalization and the minimal $L^2$ integrals. As applications, we give some monotonicity results for the conjugate Hardy $H^2$ kernels and the Bergman kernels on planar regions, and some relations between the conjugate Hardy $H^2$ kernels and the Bergman kernels on planar regions.

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Qi'an Guan, Zheng Yuan. 2023-07-28. A generalization of the conjugate Hardy $H^2$ spaces. https://arxiv.org/abs/2307.15446

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