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Generalized Hardy–Morrey Spaces       
Yazarlar
Prof. Dr. Ali AKBULUT Prof. Dr. Ali AKBULUT
Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Ahi Evran Üniversitesi, Türkiye
Takahıro Noı
Yoshıhıro Sawano
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 HardyMorrey 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-Littlewood 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 FUR ANALYSIS UND IHRE ANWENDUNGEN
Dergi ISSN 0232-2064
Dergi Tarandığı Indeksler SCI-Expanded
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
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 8
SCOPUS 9
Google Scholar 19
Generalized Hardy–Morrey Spaces

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