- Tytuł:
- Generalized weighted Besov spaces on the Gegenbauer hypergroup
- Autorzy:
- Ibrahimov, Elman J.
- Powiązania:
- https://bibliotekanauki.pl/articles/963587.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
gegenbauer hypergroup
generalized gegenbauer shifts operators
besov spaces
generalized convolution
gegenbauer transformations - Opis:
- In this paper we study generalized weighted Besov type spaces on the Gegenbauer hypergroup. We give different characterizations of these spaces in terms of generalized convolution with a kind of smooth functions and by means of generalized translation operators. Also a discrete norm is given to obtain more general properties on these spaces. Obtained results are analogies of the results for generalized Bessel shifts obtained in the work [5].
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł