O'Neil inequality for multilinear convolutions and some applications
Yazarlar (2)
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) | ||
| 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 |
| Özet |
| In this paper we prove the O'Neil inequality for the k-linear convolution f circle times 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 M-Omega,M-alpha a and k-linear fractional integral operator I-Omega,I-alpha a with rough kernels from the spaces L-p1 x L-p2 x ... x L-pk (R-n) to L-q(R-n). |
| Anahtar Kelimeler |
| Lebesgue space | O'Neil inequality | Rearrangement estimate | Rough k-sublinear fractional maximal function | Rough multilinear fractional integral |
| Atıf Sayıları | |
| WoS | 10 |
| SCOPUS | 7 |