O'Neil inequality for multilinear convolutions and some applications
Yazarlar (2)
Vagif S. Guliyev Baku State University, Azerbaycan
Prof. Dr. Vagıf GULIYEV Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Integral Equations and Operator Theory (Q2) | ||
| Dergi ISSN | 0378-620X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 04-2008 |
| Cilt / Sayı / Sayfa | 60 / 4 / 485–497 | DOI | 10.1007/s00020-008-1576-7 |
| Makale Linki | https://link.springer.com/article/10.1007/s00020-008-1576-7 | ||
| Özet |
| In this paper we prove the O’Neil inequality for the k-linear convolution f ⊗ g. By using the O’Neil inequality for rearrangements we obtain a pointwise rearrangement estimate of the k-linear convolution. As an application, we obtain necessary and sufficient conditions on the parameters for the boundedness of the k-sublinear fractional maximal operator MΩ, α and k-linear fractional integral operator IΩ, α with rough kernels from the spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{p1} \times L_{p2} \times . . . \times L_{pk} ({\mathbb{R}}^{n}) {\rm to} L_{q}({\mathbb{R}}^{n}).$$\end{document} |
| Anahtar Kelimeler |
| Lebesgue space | O'Neil inequality | Rearrangement estimate | Rough k-sublinear fractional maximal function | Rough multilinear fractional integral |
| Atıf Sayıları | |
| Google Scholar | 15 |
| Web of Science | 10 |