On the deformed Besov-Hankel spaces

• Autorzy: Said Salem Ben , Boubatra Mohamed Amine , Sifi Mohamed

Identyfikatory

DOI

10.7494/OpMath.2020.40.2.171

• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce function spaces denoted by [formula] 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 k > 0. For p = r = +∞, we obtain an approximation result involving partial Hankel integrals.

Słowa kluczowe

EN

deformed Hankel kernel; Besov spaces; Bochner-Riesz means; partial Hankel integrals

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 2
• Strony: 171--207
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Said Salem Ben

• Department of Mathematical Science College of Science United Arab Emirates University Al-Ain, Abu Dhabi, UAE

autor

Boubatra Mohamed Amine

• Université Tunis El Manar Faculté des Sciences de Tunis Laboratoire d’Analyse Mathématique et Applications LR11ES11, Campus Universitaire, 2092 El Manar I, Tunis, Tunisia

autor

Sifi Mohamed

• Université Tunis El Manar Faculté des Sciences de Tunis Laboratoire d’Analyse Mathématique et Applications LR11ES11, Campus Universitaire, 2092 El Manar I, Tunis, Tunisia

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).