Characterizations of Hardy spaces associated with Laplace--Bessel operators
Yazarlar (3)
Dumlupinar Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV
Dumlupinar Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis and Mathematical Physics (Q1) | ||
| Dergi ISSN | 1664-2368 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2019 |
| Cilt / Sayı / Sayfa | 9 / 4 / 2281–2310 | DOI | 10.1007/s13324-019-00335-5 |
| Özet |
| In this paper, we obtain a characterization of HΔνp(R+n) Hardy spaces by using atoms associated with the radial maximal function, the nontangential maximal function and the grand maximal function related to Δν Laplace--Bessel operator for ν> 0 and 1 < p< ∞. As an application, we further establish an atomic characterization of Hardy spaces HΔνp(R+n) in terms of the high order Riesz--Bessel transform for 0 < p≤ 1. |
| Anahtar Kelimeler |
| Atomic decomposition | Fourier--Bessel transform | Generalized shift operator | Hardy space | Riesz--Bessel transform |
| Atıf Sayıları | |
| WoS | 7 |
| SCOPUS | 8 |