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Convolution Inequalities in lp Weighted Spaces

Published online by Cambridge University Press:  20 November 2018

Nguyen Du Vi Nhan  and
Dinh Thanh Duc
Nguyen Du Vi Nhan
Affiliation:
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietname-mail: ndvynhan@gmail.come-mail: ducdinh2002@yahoo.com
Dinh Thanh Duc
Affiliation:
Department of Mathematics, Quy Nhon University, Binh Dinh, Vietname-mail: ndvynhan@gmail.come-mail: ducdinh2002@yahoo.com
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Abstract

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Various weighted ${{l}_{p}}$-norm inequalities in convolutions are derived by a simple and general principle whose ${{l}_{2}}$ version was obtained by using the theory of reproducing kernels. Applications to the Riemann zeta function and a difference equation are also considered.

Keywords

26D1544A35inequalities for sumsconvolution

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 355 - 367
Copyright
Copyright © Canadian Mathematical Society 2012

References

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