WEIGHTED NORM INEQUALITIES FOR DERIVATIVES AND THEIR APPLICATIONS

被引：0

作者：

Nhan Nguyen Du Vi ^{[1
]}

Duc Dinh Thanh ^{[1
]}

Tuan Vu Kim ^{[2
]}

机构：

[1] Quy Nhon Univ, Dept Math, Binh Dinh, Vietnam

[2] Univ West Georgia, Dept Math, Carrollton, GA 30118 USA

来源：

KODAI MATHEMATICAL JOURNAL | 2013年 / 36卷 / 02期

关键词：

Norm inequality; Holder's inequality; Opial's inequality; weighted space; absolutely continuous function; convolution; integral equation; CONVOLUTION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish several weighted norm inequalities for derivatives of products of composition and Laplace convolution of functions. Some generalizations including Yamada's and Opial-type inequalities are discussed. As applications we give L-p-weighted estimates for solutions of some integral equations.

引用

页码：228 / 245

页数：18

共 12 条

[1] Agarwal R.P., 1995, MATH ITS APPL, V320
[2] Weighted inequalities for iterated convolutions
Andersen, KF
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (09) : 2643 - 2651
[3] [Anonymous], 2006, Journal of the Electrochemical Society
[4] [Anonymous], 2008, HDB INTEGRAL EQUAION, DOI DOI 10.1201/9781420010558
[5] On a convolution inequality of Saitoh
Cwikel, M
Kerman, R
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 124 (03) : 773 - 777
[6] Duc DT, 2011, KODAI MATH J, V34, P191
[7] MITRINOVIC DS, 1993, CLASSIC NEW INEQUALI
[8] Weighted norm inequalities for a nonlinear transform
Nguyen Du Vi Nhan
Dinh Thanh Duc
Vu Kim Tuan
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (04) : 832 - 839
[9] Fundamental inequalities for the iterated Laplace convolution in weighted Lp spaces and their applications
Nhan, N. D. V.
Duc, D. T.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (09) : 655 - 664
[10] Saitoh S., 1997, INT SERIES NUMERICAL, V123, P39

← 1 2 →