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

In this paper, we study limiting embeddings of Besov-type andTriebel-Lizorkin-type spaces, $id_\tau: B_{p_1,q_1}^{s_1,\tau_1}(\Omega)\rightarrow B_{p_2,q_2}^{s_2,\tau_2}(\Omega)$ and $id_\tau :F_{p_1,q_1}^{s_1,\tau_1}(\Omega) \rightarrow F_{p_2,q_2}^{s_2,\tau_2}(\Omega)$,where $\Omega \subset \mathbb{R}^d$ is a bounded domain, obtaining necessaryand sufficient conditions for the continuity of $id_\tau$. This can also beseen as the continuation of our previous studies of compactness of theembeddings in the non-limiting case. Moreover, we also construct Rychkov'slinear, bounded universal extension operator for these spaces.

Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator