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

The notion of tamed Dirichlet space was proposed by Erbar, Rigoni, Sturm andTamanini as a Dirichlet space having a weak form of Bakry-\'Emery curvaturelower bounds in distribution sense. After their work, Braun established avector calculus for it, in particular, the space of $L^2$-normed$L^{\infty}$-module describing vector fields, $1$-forms, Hessian in$L^2$-sense. In this framework, we establish the Hess-Schrader-Uhlenbrockinequality for $1$-forms as an element of $L^2$-cotangent module (an$L^2$-normed $L^{\infty}$-module), which extends the Hess-Schrader-Uhlenbrockinequality by Braun under an additional condition.

Hess-Schrader-Uhlenbrock inequality for the heat semigroup on  differential forms over Dirichlet spaces tamed by distributional curvature  lower bounds