Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces
Yazarlar (3)
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | DOKLADY MATHEMATICS (Q4) | ||
| Dergi ISSN | 1064-5624 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 07-2006 |
| Cilt / Sayı / Sayfa | 74 / 1 / 540–544 | DOI | 10.1134/S1064562406040181 |
| Özet |
| The boundedness of the fractional maximal operator in local and global Morrey-type spaces are described. An estimate for the norm of the maximal function over a ball is obtained, which reduces the problem to the boundedness of the Hardy operator in weighted spaces on a half-line on the cone of nonnegative nonincreasing functions. This helps to derive sufficient conditions for the boundedness of the fractional maximal operator for all admissible parameter values. These sufficient conditions are also necessary under certain relations between the parameters for local Morrey-type spaces. The spaces are the classical Morrey spaces that were used to analyze the local behavior of solutions to second-order elliptic differential equations. The necessary and sufficient conditions for the boundedness of the fractional maximal operator from one weighted Lebesgue space to another imply necessary and sufficient … |
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| Atıf Sayıları | |
| WoS | 7 |
| Google Scholar | 145 |