@Article{BenSaïd2020,
author = "Ben Saïd, Salem and Amine Boubatra, Mohamed and Sifi, Mohamed",
title = "On the deformed Besov-Hankel spaces",
journal = "Opuscula Math.",
year = "2020",
volume = "40",
number = "2",
pages = "171--207",
doi = "https://doi.org/10.7494/OpMath.2020.40.2.171",
url = "https://doi.org/10.7494/OpMath.2020.40.2.171",
abstract = "In this paper we introduce function spaces denoted by \(BH_{\kappa,\beta}^{p,r}\) (\(0\lt\beta\lt 1\), \(1\leq p, r \leq +\infty\)) as subspaces of \(L^p\) that we call deformed Besov-Hankel spaces. We provide characterizations of these spaces in terms of Bochner-Riesz means in the case \(1\leq p\leq +\infty\) and in terms of partial Hankel integrals in the case \(1\lt p\lt +\infty\) associated to the deformed Hankel operator by a parameter \(\kappa\gt 0\). For \(p=r=+\infty\), we obtain an approximation result involving partial Hankel integrals.",
keywords = "deformed Hankel kernel, Besov spaces, Bochner-Riesz means, partial Hankel integrals",
issn = "1232-9274"
}