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 prove fractional Sobolev-Poincar\'e inequalities, capacitary versions offractional Poincar\'e inequalities, and pointwise and localized fractionalHardy inequalities in a metric space equipped with a doubling measure. Ourresults generalize and extend earlier work where such inequalities have beenconsidered in the Euclidean spaces or in the non-fractional setting in metricspaces. The results concerning pointwise and localized variants of fractionalHardy inequalities are new even in the Euclidean case.

Fractional Poincar\'e and localized Hardy inequalities on metric spaces