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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Republic of Armenia National Academy of Sciences
2009-01-01
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| Series: | Armenian Journal of Mathematics |
| Online Access: | http://armjmath.sci.am/index.php/ajm/article/view/44 |
| Summary: | 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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| ISSN: | 1829-1163 |