Yazarlar (4) |
![]() Ahi Evran Üniversitesi, Türkiye |
![]() Ahi Evran Üniversitesi, Türkiye |
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Özet |
This paper is an off-spring of the contribution [Z. Anal. Anwend. 36 (2017)(1), 17-35]. We propose a way to consider the decomposition method of generalized Hardy-Morrey spaces. Generalized Hardy-Morrey spaces emerged from generalized Morrey spaces. By means of the grand maximal operator and the norm of generalized Morrey spaces, we can define generalized Hardy-Morrey spaces. With what we have culminated for the Hardy-Little wood maximal operator, we can easily refine the existing results. As an application, we consider bilinear estimates, which is the so-called Olsen inequality. In particular, our results complement the one in the 2014 paper by Iida, the fourth author and Tanaka [Z. Anal. Anwend. 33 (2014)(2), 149-170]; there were two mistakes. One lies in the decomposition result and another lies in the proof of the Olsen inequality. |
Anahtar Kelimeler |
Decomposition | Generalized hardy-morrey spaces | Maximal operators | Olsen inequality |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | Zeitschrift für Analysis und ihre Anwendungen |
Dergi ISSN | 0232-2064 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q4 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2017 |
Cilt No | 36 |
Sayı | 2 |
Sayfalar | 129 / 149 |
Doi Numarası | 10.4171/ZAA/1582 |
Makale Linki | http://www.ems-ph.org/doi/10.4171/ZAA/1582 |