Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications
n 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 wil...
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Republic of Armenia National Academy of Sciences
2009-01-01
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doaj-c3d287682333448a9187dd7c6f39e7562020-11-24T23:07:16ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632009-01-0114Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their ApplicationsNguyen Du Vi Nhan0Dinh Thanh Duc1Vu Kim Tuan2Department of Mathematics, Quy Nhon University, Binh Dinh, VietnamDepartment of Mathematics, Quy Nhon University, Binh Dinh, VietnamDepartment of Mathematics, University of West Georgia, Carrollton, GA 30118, USA n 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. http://test.armjmath.sci.am/index.php/ajm/article/view/44 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Nguyen Du Vi Nhan Dinh Thanh Duc Vu Kim Tuan |
spellingShingle |
Nguyen Du Vi Nhan Dinh Thanh Duc Vu Kim Tuan Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications Armenian Journal of Mathematics |
author_facet |
Nguyen Du Vi Nhan Dinh Thanh Duc Vu Kim Tuan |
author_sort |
Nguyen Du Vi Nhan |
title |
Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications |
title_short |
Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications |
title_full |
Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications |
title_fullStr |
Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications |
title_full_unstemmed |
Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications |
title_sort |
weighted $l_p-$ norm inequalities for various convolution type transformations and their applications |
publisher |
Republic of Armenia National Academy of Sciences |
series |
Armenian Journal of Mathematics |
issn |
1829-1163 |
publishDate |
2009-01-01 |
description |
n 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.
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url |
http://test.armjmath.sci.am/index.php/ajm/article/view/44 |
work_keys_str_mv |
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_version_ |
1725619141595889664 |