| Yazarlar |
Prof. Dr. Vagıf GULIYEV
Türkiye |
Ayhan Şerbetçi
Ankara Üniversitesi, Türkiye |
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye |
|
Yagub 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 | Diğer hakemli uluslarası dergilerde yayımlanan tam makale |
| Dergi Adı | Eurasian Mathematical Journal |
| Dergi ISSN | 2077-9879 |
| Dergi Tarandığı Indeksler | Mathematical Reviews (American Mathematical Society, USA)Zentralblatt MATH (ZMATH, GERMANY)Referativnyi Zhurnal-Matematika (RUSSIA) |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2011 |
| Cilt No | 2 |
| Sayı | 3 |
| Sayfalar | 42 / 66 |
| Makale Linki | http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=emj&paperid=61&option_lang=eng |
