Riesz potential on the Heisenberg group and modified Morrey spaces
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Yagub Y. Mammadov
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
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Analele Stiintifice Ale Universitatii Ovidius Constanta Seria Matematica (Q2) | ||
| Dergi ISSN | 1224-1784 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2012 |
| Cilt / Sayı / Sayfa | 20 / 1 / 189–212 | DOI | 10.2478/v10309-012-0013-8 |
| Makale Linki | https://sciendo.com/pdf/10.2478/v10309-012-0013-8 | ||
| Özet |
| In this paper we study the fractional maximal operator Mα, 0≤ α< Q and the Riesz potential operator Iα, 0< α< Q on the Heisenberg group in the modified Morrey spaces Lp, λ (Hn), where Q= 2n+ 2 is the homogeneous dimension on Hn. We prove that the operators Mα and Iα are bounded from the modified Morrey space L1, λ (Hn) to the weak modified Morrey space WLq, λ (Hn) if and only if, α/Q≤ 1− 1/q≤ α/(Q− λ) and from Lp, λ (Hn) to Lq, λ (Hn) if and only if, α/Q≤ 1/p− 1/q≤ α/(Q− λ). |
| Anahtar Kelimeler |
| BMO space | Fractional integral | Fractional maximal function | Heisenberg group | Modified Morrey space | Riesz potential |
