Unconditional bases for homogeneous α-modulation type spaces

2020/11/27 by Morten Nielsen, Nielsen, Morten
Mathematics · #41A17 #42B35 #42C15 #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:41A17 #msc:42B35 #msc:42C15

paper · pdf · doi:10.48550/arxiv.2011.13697

arxiv created 2020/11/27 · arxiv updated 2020/11/30

Abstract

In this article we construct orthonormal bases compatible with bi-variate homogeneous α-modulation spaces and the associated spaces of Triebel-Lizorkin type. The construction is based on generating a separable α-covering and using carefully selected tensor products of univariate brushlet functions with regards to this covering. We show that the associated systems form an unconditional bases for the homogeneous α-spaces of Triebel-Lizorkin type.

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