TL;DR
This paper extends the Nazarov lemma to multiple dimensions, utilizing a generalized regularised system of intervals, advancing the theoretical framework in harmonic analysis.
Contribution
It introduces a multidimensional version of the Nazarov lemma using a generalized regularised system of intervals, broadening its applicability.
Findings
Established a multidimensional Nazarov lemma
Generalized the regularised system of intervals to multiple dimensions
Provided a new theoretical tool for harmonic analysis
Abstract
In this article we prove a multidimensional version of the Nazarov lemma. The proof is based on an appropriate generalisation of the regularised system of intervals introduced by Havin, Nazarov and Mashreghi to several dimensions.
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