A rearrangement estimate for the generalized multilinear fractional integrals
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Sh. A. Nazirova Khazar University, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Siberian Mathematical Journal (Q3) | ||
| Dergi ISSN | 0037-4466 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2007 |
| Cilt / Sayı / Sayfa | 48 / 3 / 463–470 | DOI | 10.1007/s11202-007-0048-7 |
| Makale Linki | https://link.springer.com/article/10.1007/s11202-007-0048-7 | ||
| Özet |
| We study the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$L_{p_1 } \times L_{p_2 } \times \cdots \times L_{p_k } $$ \end{document} boundedness of generalized multilinear fractional integrals. An O’Neil type inequality for a k-linear integral operator is proved. Using an O’Neil type inequality for a k-linear integral operator, we obtain a pointwise rearrangement estimate of generalized multilinear fractional integrals. By way of application we prove a Sobolev type theorem for these integrals. |
| Anahtar Kelimeler |
| Generalized multilinear fractional integral | Lebesgue space | O'Neil type inequality | Rearrangement estimate |
| Atıf Sayıları | |
| Google Scholar | 12 |
| Google Scholar | 1 |
| Web of Science | 7 |