Boundedness of maximal, potential type, and singular integral operators in the generalized variable exponent Morrey type spaces
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
J. J. Hasanov Azerbaijan National Academy Of Sciences, Azerbaycan
S. G. Samko Universidade Do Algarve, Portekiz
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Sciences | ||
| Dergi ISSN | 1072-3374 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2010 |
| Cilt / Sayı / Sayfa | 170 / 4 / 423–443 | DOI | 10.1007/s10958-010-0095-7 |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s10958-010-0095-7.pdf | ||
| Özet |
| We consider generalized Morrey type spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {\mathcal{M}^{p\left( \cdot \right),\theta \left( \cdot \right),\omega \left( \cdot \right)}}\left( \Omega \right) $\end{document} with variable exponents p(x), θ(r) and a general function ω(x, r) defining a Morrey type norm. In the case of bounded sets \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \Omega \subset {\mathbb{R}^n} $\end{document}, we prove the boundedness of the Hardy … |
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