On the deformed Besov-Hankel spaces | Zendy

Salem Ben Saïd | Zendy; Mohamed Amine Boubatra | Zendy; Mohamed Sifi | Zendy

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On the deformed Besov-Hankel spaces

Author(s) -

Salem Ben Saïd,

Mohamed Amine Boubatra,

Mohamed Sifi

Publication year - 2020

Publication title -

opuscula mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 16

eISSN - 2300-6919

pISSN - 1232-9274

DOI - 10.7494/opmath.2020.40.2.171

Subject(s) - mathematics , linear subspace , hankel transform , hankel matrix , hardy space , besov space , space (punctuation) , pure mathematics , mathematical analysis , combinatorics , functional analysis , interpolation space , fourier transform , biochemistry , chemistry , gene , linguistics , philosophy

Communicated by Vicentiu D. Radulescu Abstract. In this paper we introduce function spaces denoted by BH κ,β (0 < β < 1, 1 ≤ p, r ≤ +∞) as subspaces of L that we call deformed Besov–Hankel spaces. We provide characterizations of these spaces in terms of Bochner–Riesz means in the case 1 ≤ p ≤ +∞ and in terms of partial Hankel integrals in the case 1 < p < +∞ associated to the deformed Hankel operator by a parameter κ > 0. For p = r = +∞, we obtain an approximation result involving partial Hankel integrals.

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