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Browsing by Subject "partial Hankel integrals"

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    Item type:Article, Access status: Open Access ,
    On the deformed Besov-Hankel spaces
    (Wydawnictwa AGH, 2020) Saïd, Salem Ben; Boubatra, Mohamed Amine; Sifi, Mohamed
    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.