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Upper bound coefficient for convolution structure associated to Hartley--Bessel transform
Trinh Tuan
https://arxiv.org/abs/2508.02787 https://arxiv.org/pdf…

Upper bound coefficient for convolution structure associated to Hartley--Bessel transform
This paper is devoted to the study of a convolution structure denoted by $*_α$, which is defined via the Hartley--Bessel transform. This concept was introduced in a recent work by F. Bouzeffour [\emph{J. Pseudo-Differ. Oper. Appl.}, 2024;15, Article 42]. We establish an analog of the Hausdorff--Young inequality for the Hartley--Bessel transform and convolution operator $*_α$. This leads to the convolution $*_α$ being uniformly bounded on the dual space. Moreover, in some special cases, our r…