Characterization of a class of embeddings for function spaces with Muckenhoupt weights

2014/09/08 by Meyries, Martin, Veraar, Mark
#46E35 #46E40 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1409.2396

Abstract

For function spaces equipped with Muckenhoupt weights, the validity of continuous Sobolev embeddings in case p₀≤ p₁ is characterized. Extensions to Jawerth-Franke embeddings, vector-valued spaces and examples involving some prominent weights are also provided.

Related

• Sharp embedding results for spaces of smooth functions with power weights
• Weighted Sobolev spaces and embedding theorems
• Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains
• The Muckenhoupt condition
• Some necessary and some sufficient conditions for the compactness of the embedding of weighted Sobolev spaces