| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi |
A. Serbetci
|
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi |
|
Y. Y. Mammadov
|
| Özet |
| In this paper we define the Nikol'skii-Besov and Lizorkin-Triebel spaces (B-Nikol'skii-Besov and B-Lizorkin-Triebel spaces) in the context of the Fourier-Bessel harmonic analysis. We establish some basic properties of the B-Nikol'skii-Besov and B-Lizorkin-Triebel spaces such as embedding theorems, the lifting property, and characterizing of the Bessel potentials in terms of the B-Lizorkin-Triebel spaces. We prove the inclusion and the density of the Schwartz space in the B-Nikol'skii-Besov and B-Lizorkin-Triebel spaces and prove an interpolation formula for these spaces by the real method. We also prove the Young inequality for the B-convolution operators in the B-Bessel potential spaces. Finally, we give some applications involving the Laplace-Bessel differential operator. |
| Anahtar Kelimeler |
| B-Nikol'skii-Besov spaces | B-Lizorkin-Triebel spaces | Fourier-Bessel transform | B-Bessel potential spaces |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | EURASIAN MATHEMATICAL JOURNAL |
| Dergi ISSN | 2077-9879 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2011 |
| Cilt No | 2 |
| Sayı | 3 |
| Sayfalar | 42 / 66 |
