Matrix weighted modulation spaces

2024/02/26 by Nielsen, Morten · 1 citation
#42C15 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 42C40 #Secondary 42B15

paper · doi:10.48550/arxiv.2402.16461

Abstract

Given a matrix-weight W in the Muckenhoupt class A_p(ℝⁿ), 1≤ p<∞, we introduce corresponding vector-valued continuous and discrete α-modulation spaces M^s,α_p,q(W) and m^s,α_p,q(W) and prove their equivalence through the use of adapted tight frames. Compatible notions of molecules and almost diagonal matrices are also introduced, and an application to the study of pseudo-differential operators on vector valued spaces is given.

Cited by

• Matrix-Weighted Campanato Spaces: Duality and Calderón--Zygmund Operators

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