English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The space $F^p$ ($1<p<\infty$) consists of all holomorphic functions $f$ onthe open unit disk $\Bbb D$ such that $ \lim_{r\to1}(1-r)^{1/q}\log^+M_{\infty}(r,f)=0,$ where $M_{\infty}(r,f)=\max_{\vertz\vert\le r}\vert f(z)\vert$ with $0<r<1$. Stoll [5, Theorem 3.2] proved thatthe space $F^p$ with the topology given by the family of seminorms$\left\{\Vert \cdot\Vert_{q,c}\right\}_{c>0}$ defined for $f\in F^q$ as $\Vertf\Vert_{q,c}:=\sum_{n=0}^{\infty}\vert a_n\vert\exp\left(-cn^{1/(q+1)}\right)<\infty$, becomes a countably normed Fr\'{e}chet algebra. It is knownthat for every $p>1$, $F^p$ is the Fr\'{e}chet envelope of the Privalov space$N^p$. In this paper, we extend our study of [32] on the structure of maximalideals in the algebras $F^p$ ($1<p<\infty$). Namely, the obtainedcharacterization of closed maximal ideals in $F^p$ from [32] is extended herein terms of topology of uniform convergence on compact subsets of $\Bbb D$.

Closed maximal ideals ideals in some Fr\'echet algebras of holomorphic functions