On the limiting case for boundedness of the B-Riesz potential in B-Morrey spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Javanshir J. Hasanov Baku State University, Azerbaycan
Yusuf Zeren Harran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Analysis Mathematica (Q4) | ||
| Dergi ISSN | 0133-3852 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2009 |
| Cilt / Sayı / Sayfa | 35 / 2 / 87–97 | DOI | 10.1007/s10476-009-0201-6 |
| Makale Linki | https://link.springer.com/article/10.1007/s10476-009-0201-6 | ||
| Özet |
| We consider the generalized shift operator associated with the Laplace-Bessel differential operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \Delta _B = \sum\limits_{i = 1}^n {\frac{{\partial ^2 }} {{\partial x_j^2 }}} + \sum\limits_{i = 1}^k {\frac{{\gamma _i }} {{x_i }}\frac{\partial } {{\partial x_i }}} $$\end{document}, and study the modified B-Riesz potential Ĩα, β generated by the generalized shift operator acting in the B-Morrey space in the limiting case.We prove that the operator Ĩα, β, 0 < α < n + |γ|, is bounded from the B-Morrey space L(n+|γ|−λ)/α,λ,γ(ℝk,+n) to the B-BMO space BMOγ(ℝk,+n). |
| Anahtar Kelimeler |
| Atıf Sayıları | |
| WoS | 4 |
| SCOPUS | 5 |