Open Access
June 2013 Weighted norm inequalities for derivatives and their applications
Nhan Nguyen Du Vi, Duc Dinh Thanh, Tuan Vu Kim
Kodai Math. J. 36(2): 228-245 (June 2013). DOI: 10.2996/kmj/1372337515

Abstract

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 Lp-weighted estimates for solutions of some integral equations.

Citation

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Nhan Nguyen Du Vi. Duc Dinh Thanh. Tuan Vu Kim. "Weighted norm inequalities for derivatives and their applications." Kodai Math. J. 36 (2) 228 - 245, June 2013. https://doi.org/10.2996/kmj/1372337515

Information

Published: June 2013
First available in Project Euclid: 27 June 2013

zbMATH: 1315.26013
MathSciNet: MR3081244
Digital Object Identifier: 10.2996/kmj/1372337515

Rights: Copyright © 2013 Tokyo Institute of Technology, Department of Mathematics

Vol.36 • No. 2 • June 2013
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