Maximal Operator in Variable Exponent Generalized Morrey Spaces on Quasi-metric Measure Space
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Universidade Do Algarve, Portekiz
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Mediterranean Journal of Mathematics (Q1) | ||
| Dergi ISSN | 1660-5446 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2016 |
| Cilt / Sayı / Sayfa | 13 / 3 / 1151–1165 | DOI | 10.1007/s00009-015-0561-z |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s00009-015-0561-z.pdf | ||
| Özet |
| We consider generalized Morrey spaces on quasi-metric measure spaces , in general unbounded, with variable exponent p(x) and a general function defining the Morrey-type norm. No linear structure of the underlying space X is assumed. The admission of unbounded X generates problems known in variable exponent analysis. We prove the boundedness results for maximal operator known earlier only for the case of bounded sets X. The conditions for the boundedness are given in terms of the so called supremal inequalities imposed on the function , which are weaker than Zygmund-type integral inequalities often used for characterization of admissible functions . Our conditions do not suppose any assumption on monotonicity of in r. |
| Anahtar Kelimeler |
| 42B25 | 42B35 | 46E30 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 19 |
| SCOPUS | 20 |
| Google Scholar | 19 |