The boundedness of the generalized anisotropic potentials with rough kernels in the Lorentz spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Ayhan Serbetci Ankara Üniversitesi, Türkiye
Ismail Ekincioglu Dumlupinar Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Integral Transforms and Special Functions (Q3) | ||
| Dergi ISSN | 1065-2469 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2011 |
| Cilt / Sayı / Sayfa | 22 / 12 / 919–935 | DOI | 10.1080/10652469.2010.548334 |
| Makale Linki | https://www.tandfonline.com/doi/abs/10.1080/10652469.2010.548334 | ||
| Özet |
| In this paper, we study the generalized anisotropic potential integral K α, γ⊗ f and anisotropic fractional integral I Ω,α, γ f with rough kernels, associated with the Laplace–Bessel differential operator Δ B . We prove that the operator f→K α, γ⊗ f is bounded from the Lorentz spaces to for 1≤p |
| Anahtar Kelimeler |
| Generalized anisotropic potential integral | Laplace-bessel differential operator | Lorentz spaces | Rough anisotropic fractional integral |
| Atıf Sayıları | |
| Google Scholar | 4 |
| Web of Science | 1 |