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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We introduce a notion of generalized Triebel-Lizorkin spaces associated withsectorial operators in Banach function spaces. Our approach is based onholomorphic functional calculus techniques. Using the concept of$\mathcal{R}_s$-sectorial operators, which in turn is based on the notion of$\mathcal{R}_s$-bounded sets of operators introduced by Lutz Weis, we obtain aneat theory including equivalence of various norms and a precise description ofreal and complex interpolation spaces. Another main result of this article isthat an $\mathcal{R}_s$-sectorial operator always has a bounded$H^\infty$-functional calculus in its associated generalized Triebel-Lizorkinspaces.

Rs-sectorial operators and generalized Triebel-Lizorkin spaces