Boundedness of the fractional maximal operator in local Morrey-type spaces
Yazarlar (4)
V. I. Burenkov Università Degli Studi Di Padova, İtalya
A. Gogatishvili
Academy of Sciences of The Czech Republic, Çek Cumhuriyeti
Academy of Sciences of The Czech Republic, Çek Cumhuriyeti
Prof. Dr. Vagıf GULIYEV Institute of Mathematics And Mechanics Ministry of Science And Education Republic of Azerbaijan, Azerbaycan
R. Ch Mustafayev
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) | ||
| Dergi Adı | Complex Variables and Elliptic Equations (Q4) | ||
| Dergi ISSN | 1747-6933 Dergi Bilgileri (2010) | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2010 |
| Cilt / Sayı / Sayfa | 55 / 8 / 739–758 | DOI | 10.1080/17476930903394697 |
| Makale Linki | https://www.tandfonline.com/doi/abs/10.1080/17476930903394697 | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
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| Özet |
| The problem of boundedness of the fractional maximal operator M α, 0 ≤ α < n, in general local Morrey-type spaces is reduced to the problem of boundedness of the supremal operator in weighted L p -spaces on the cone of non-negative non-decreasing functions. This allows obtaining sharp sufficient conditions for boundedness for all admissible values of the parameters, which, for a certain range of the parameters wider than known before, coincide with the necessary ones. |
| Anahtar Kelimeler |
| Fractional maximal operator | Local and global morrey-type spaces | Supremal operator on the cone of monotonic functions |
| Atıf Sayıları | |
| Web of Science | 123 |
| Scopus | 136 |
| Google Scholar | 199 |