Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure
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Publication:785842
DOI10.1016/j.jfa.2020.108628zbMath1467.30036arXiv1903.05793OpenAlexW3027835676MaRDI QIDQ785842
Piotr Hajłasz, Przemysław Górka, Ryan Alvarado
Publication date: 12 August 2020
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.05793
Related Items (10)
Three dimensions of metric-measure spaces, Sobolev embeddings and optimal sign transport ⋮ Embeddings of the fractional Sobolev spaces on metric-measure spaces ⋮ Minkowski dimension for measures ⋮ Pointwise characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type ⋮ Embedding of fractional Sobolev spaces is equivalent to regularity of the measure ⋮ Difference characterization of Besov and Triebel-Lizorkin spaces on spaces of homogeneous type ⋮ Weighted 1-dimensional Orlicz-Poincaré inequalities ⋮ Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces ⋮ A measure characterization of embedding and extension domains for Sobolev, Triebel-Lizorkin, and Besov spaces on spaces of homogeneous type ⋮ Poincaré inequalities and compact embeddings from Sobolev type spaces into weighted \(L^q\) spaces on metric spaces
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