Matrix weighted α-modulation spaces

被引：0
|
作者：
Nielsen, Morten [1 ]
机构：
[1] Aalborg Univ, Dept Math Sci, Skjernvej 4A, DK-9220 Aalborg, Denmark
来源：
MONATSHEFTE FUR MATHEMATIK | 2025年 / 206卷 / 02期
关键词：
Matrix weighted space; Besov space; alpha-modulation space; Almost diagonal matrix; Fourier multiplier operator; PSEUDODIFFERENTIAL-OPERATORS; BANACH-SPACES; A(P) WEIGHTS; DECOMPOSITION;
D O I：
10.1007/s00605-024-02015-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a matrix-weight W in the Muckenhoupt class A(p)(R-n), 1 <= p < infinity, we introduce corresponding vector-valued continuous and discrete alpha-modulation spaces M-p,q(s,alpha)(W) and m(p,q)(s,alpha)(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 Fourier multipliers on vector valued spaces is given.
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页码：419 / 448
页数：30
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