Maximal, Potential, and Singular Operators in the Generalized Variable Exponent Morrey Spaces on Unbounded Sets
Yazarlar (2)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
S. G. Samko
Universidade Do Algarve, Portekiz
Universidade Do Algarve, Portekiz
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Journal of Mathematical Sciences United States | ||
| Dergi ISSN | 1072-3374 Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2013 |
| Cilt / Sayı / Sayfa | 193 / 2 / 228–248 | DOI | 10.1007/s10958-013-1449-8 |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s10958-013-1449-8.pdf | ||
| Özet |
| We consider generalized Morrey spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {{\mathcal{M}}^{{p\left( \cdot \right),\omega \left( \cdot \right)}}}\left( \Omega \right) $$\end{document} with a variable exponent p(x) and a general function ω(x, r) defining a Morrey type norm. We extend the results obtained earlier for 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} by proving the boundedness of the … |
| Anahtar Kelimeler |