Hyperbolic Lebesgue Constants in Dimension Three
Year: 2026
Type: article
Abstract: For the three-dimensional hyperbolic crosses {k∈Z3,α,β,γ>0:1≤|k1|α|k2|β|k3|γ≤Rα+β+γ}, three types of estimates (from above) of the Lebesgue constants generated by them are possible depending on α, β, and γ. We improve the most problematic of them by showing that for R→∞, it may be RlnR rather than the previously known RlnR.
Source: Mathematics
DOI: 10.3390/math14214069
Author: Elijah Liflyand
Institution: Bar-Ilan University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W7225406924