TY - JOUR
T1 - On the deformed besov-hankel spaces
AU - Ben Saïd, Salem
AU - Boubatra, Mohamed Amine
AU - Sifi, Mohamed
N1 - Publisher Copyright:
© 2020 Authors.
PY - 2020
Y1 - 2020
N2 - In this paper we introduce function spaces denoted by BHp,r κ,β (0 < β < 1, 1 ≤ p,r ≤ +∞) as subspaces of Lp 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.
AB - In this paper we introduce function spaces denoted by BHp,r κ,β (0 < β < 1, 1 ≤ p,r ≤ +∞) as subspaces of Lp 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.
KW - Besov spaces
KW - Bochner-Riesz means
KW - Deformed Hankel kernel
KW - Partial Hankel integrals
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U2 - 10.7494/OpMath.2020.40.2.171
DO - 10.7494/OpMath.2020.40.2.171
M3 - Article
AN - SCOPUS:85084216627
SN - 1232-9274
VL - 40
SP - 171
EP - 207
JO - Opuscula Mathematica
JF - Opuscula Mathematica
IS - 2
ER -