Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces

2014/06/02 by De Nápoli, Pablo L., Drelichman, Irene, Saintier, Nicolas
#42C40 #46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1406.0542

Abstract

We study the continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights in the Muckenhoupt class A_∞. The main tool is a discretization in terms of an almost orthogonal wavelet expansion adapted to the radial situation.

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