Some inequalities for integral operators, associated with the Bessel differential operator
Yazarlar (4)
| Bildiri Türü | Tebliğ/Bildiri | Bildiri Dili | İngilizce |
| Bildiri Alt Türü | Tam Metin Olarak Yayınlanan Tebliğ (Uluslararası Kongre/Sempozyum) | ||
| Bildiri Niteliği | Web of Science Kapsamındaki Kongre/Sempozyum | ||
| Kongre Adı | International Conference on Function Spaces, Differential Operators and Nonlinear Analysis | ||
| Kongre Tarihi | 28-06-2001 / 04-07-2001 | ||
| Basıldığı Ülke | Almanya | Basıldığı Şehir | TEISTUNGEN |
| Özet |
| In this paper we consider maximal functions, fractional maximal functions and fractional integrals which are generated by a generalized shift operator, associated with the Bessel differential operator \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B = (B_1 , \ldots ,B_n ),\;B_i = \frac{{\partial ^2 }} {{\partial x_i^2 }} + \frac{{\gamma _i }} {{x_i }}\frac{\partial } {{\partial x_i }},\;i = 1, \ldots ,n.$$\end{document} We present inequalities for these operators in corresponding weightedLp-spaces.In a special case we have found necessary and sufficient conditions for pairs of weights ensuring the validity of strong type inequalities for fractional integrals. |
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