Bandlimited Multipliers on Matrix-Weighted Lp-Spaces

被引:0
|
作者
Nielsen, Morten [1 ]
机构
[1] Aalborg Univ, Dept Math Sci, Thomas Manns Vej 23, DK-9220 Aalborg, Denmark
关键词
Matrix weight; Muckenhoupt condition; Band-limited functions; Sampling theorem; Fourier multiplier operator; A(P); WEIGHTS;
D O I
10.1007/s00041-024-10136-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We extend a classical result by Triebel on boundedness of bandlimited multipliers on L-p(R-n), 0 < p <= 1, to a vector-valued and matrix-weighted settingwith boundedness of the bandlimited multipliers obtained on L-p(W), 0 < p <= 1, for matrix-weights W : R-n -> C-NxN that satisfy a matrix Muckenhoupt A(p)-condition.
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页数:10
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