POINTWISE AND INTEGRAL ESTIMATES FOR THE FRACTIONAL INTEGRALS ON THE LAGUERRE HYPERGROUP
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
N. N. Garakhanova Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
I. Ekincioglu Dumlupinar Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mathematical Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2012 |
| Cilt / Sayı / Sayfa | 15 / 3 / 513–524 | DOI | 10.7153/mia-15-44 |
| Makale Linki | https://www.researchgate.net/profile/Ismail-Ekincioglu/publication/266423320_On_the_estimation_of_maximal_singular_integral_operators_generated_by_a_generalized_shift_operator/links/567a836308ae361c2f6971ff/On-the-estimation-of-maximal-singular-integ | ||
| Özet |
| Let K=[0,∞)× R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group. In this paper, some pointwise and integral estimates for the fractional integrals in terms of the maximal and fractional maximal functions on the Laguerre hypergroup are obtained. Basing on these results, we prove interpolation theorems for the fractional maximal functions and fractional integrals, and the Sobolev theorem on the Laguerre hypergroup. |
| Anahtar Kelimeler |
| Fractional integral operator | Fractional maximal operator | Generalized translation operator | Laguerre hypergroup |
BM Sürdürülebilir Kalkınma Amaçları
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| Google Scholar | 2 |
| Web of Science | 2 |