On the Strict Majorant Property in Arbitrary Dimensions

نویسندگان

چکیده

Abstract In this work we study d-dimensional majorant properties. We prove that a set of frequencies in $\mathbb{Z}^d$ satisfies the strict property on $L^p([0,1]^d)$ for all p > 0 if and only is affinely independent. further construct three types violations property. Any at least d + 2 violates an open interval $p \not\in 2\mathbb{N}$ length 2. infinite sequence intervals Finally, given any with 2\mathbb{N}$, exhibit moment curve $\mathbb{R}^d$ violate $L^p([0,1]^d).$

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ژورنال

عنوان ژورنال: Quarterly Journal of Mathematics

سال: 2022

ISSN: ['0033-5606', '1464-3847']

DOI: https://doi.org/10.1093/qmath/haac021