The Lp1r1 x Lp2r2 x *** x Lpkrk boundedness of rough multilinear fractional integral operators in the Lorentz spaces
Yazarlar (3)
Vagif S. Guliyev
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Ismail Ekincioglu Dumlupinar Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1025-5834 | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2015 |
| Cilt / Sayı / Sayfa | 2015 / 1 / 1–15 | DOI | 10.1186/s13660-015-0584-9 |
| Makale Linki | https://journalofinequalitiesandapplications.springeropen.com/counter/pdf/10.1186/s13660-015-0584-9 | ||
| Özet |
| In this paper, we prove the O’Neil inequality for the k-linear convolution operator in the Lorentz spaces. As an application, we obtain the necessary and sufficient conditions on the parameters for the boundedness of the k-sublinear fractional maximal operator MΩ,α(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$M_{\Omega,\alpha}(\mathbf{f})$\end{document} and the k-linear fractional integral operator IΩ,α(f)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$I_{\Omega,\alpha … |
| Anahtar Kelimeler |
| harmonic mean | k-linear convolution | k-linear fractional integral | k-sublinear fractional maximal function | Lorentz space | O’Neil inequality | rearrangement estimate |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 2 |