Nhan, Nguyen Du Vi and Duc, Dinh Thanh and Tuan, Vu kim (2009) Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications. Armenian Journal of Mathematics, 1 (4). pp. 1-18. ISSN 1829-1163
This is the latest version of this item.
![[img]](http://ajm.asj-oa.am/style/images/fileicons/application_pdf.png)
| PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 232Kb |
Abstract
In this paper we introduce several iterated convolutions and establish weighted $L_p,\ p>1,-$ norm inequalities for them by using the H\"{o}lder’s inequality and the transform of integrals. Applications to wave and heat equations, Klein-Gordon equation are also considered. Especially, we will see their applications to inhomogeneous differential equations.
| Item Type: | Article |
|---|---|
| Subjects: | 35-xx Partial differential equations 44-xx Integral transforms, operational calculus |
| ID Code: | 76 |
| Deposited By: | Professor Anry Nersesyan |
| Deposited On: | 08 Jan 2009 14:30 |
| Last Modified: | 19 Apr 2011 03:23 |
Available Versions of this Item
- WEIGHTED $L_p-$ NORM INEQUALITIES FOR VARIOUS CONVOLUTION TYPE TRANSFORMATIONS AND THEIR APPLICATIONS. (deposited 07 Jan 2009 12:50)
- Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications. (deposited 08 Jan 2009 14:30) [Currently Displayed]
Repository Staff Only: item control page
