Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces

DOI10.1002/mana.201800121OpenAlexW2981501498WikidataQ112009437 ScholiaQ112009437MaRDI QIDQ5109006

Nijjwal Karak

Publication date: 7 May 2020

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08499

zbMATH Keywords

Hajłasz-Sobolev spaceHajłasz-Besov spaceHajłasz-Triebel-Lizorkin space and measure density

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Embeddings of the fractional Sobolev spaces on metric-measure spaces ⋮ Embedding of fractional Sobolev spaces is equivalent to regularity of the measure ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities ⋮ Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure ⋮ A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type

This page was built for publication: Lower bound of measure and embeddings of Sobolev, Besov and Triebel–Lizorkin spaces