Norm Inequalities for Mellin Convolutions and their Applications

Nhan N.D.V.; Duc D.T.

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Norm Inequalities for Mellin Convolutions and their Applications

机译：Mellin卷积的范数不等式及其应用

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摘要

We establish some norm inequalities for Mellin convolutions and their applications to obtain the boundedness of integral transforms and solutions of partial differential equations.

机译：我们建立了梅林卷积及其应用的一些范式不等式，以获得积分变换的有界性和偏微分方程的解。

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《Complex analysis and operator theory》 |2013年第4期|共11页
作者
Nhan N.D.V.; Duc D.T.;
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原文格式 PDF
正文语种 eng
中图分类 51;
关键词
Boundedness; Convolution; Integral transform; Lp-weighted estimate; Norm inequality; Partial differential equation; Weight;

机译：有界;卷积;积分变换;Lp加权估计;范数不等式;偏微分方程;权重;

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专利

1. Norm Inequalities for Mellin Convolutions and their Applications [J] . Nhan N.D.V., Duc D.T. Complex analysis and operator theory . 2013,第4期

机译：Mellin卷积的范数不等式及其应用
2. Weighted $L_P-$ Norm Inequalities For Various Convolution Type Transformations And Their Applications - Armenian Journal of Mathematics [J] . Duc Dinh Thanh, Nhan Nguyen Du Vi, Tuan Vu Kim Armenian journal of mathematics . 2009,第4期

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3. ON SOME REVERSE WEIGHTED L-p(R-n)-NORM INEQUALITIES IN CONVOLUTIONS AND THEIR APPLICATIONS [J] . Dinh TD, Nguyen DVN Mathematical inequalities & applications . 2009,第1期

机译：卷积中的一些逆加权L-p（R-n）-范数不等式及其应用
4. MELLIN CONVOLUTION FOR SIGNAL FILTERING AND ITS APPLICATION TO THE GAUSSIANIZATION OF LEVY NOISE [C] . Gianni Pagnini, YangQuan Chen ASME international design engineering technical conferences;DETC2011;MESA2011;ASME/IEEE international conference on mechatronic and embedded systems and applications;Computers and information in engineering conference;CIE 2011 . 2012

机译：信号滤波的梅林卷积及其在高噪声高斯化中的应用
5. Asymptotic expansion for the L1 norm of N-fold convolutions [D] . Stey, George Carl 2007

机译：N折卷积的L1范数的渐近展开
6. Note on fractional Mellin transform and applications [O] . Adem Kılıçman, Maryam Omran -1

机译：关于分数梅林变换及其应用的说明
7. WEIGHTED LP –NORM INEQUALITIES IN CONVOLUTIONS AND THEIR APPLICATIONS [O] . Nguyen Du, Vi Nhan, Dinh, 2015

机译：加权下的Lp非均值不等式及其应用
8. Sharp Inequalities for Lsup(P) - Norms of Matrix Coefficients of Square Integrable Representations of Heisenberg Group and for Lsup(P) - Norms of Wigner Functions [R] . Scutaru, H. 1979

机译：Lsup（p）的尖锐不等式 - Heisenberg群的平方可积表示的矩阵系数范数和Lsup（p） - Wigner函数范数的范数

Norm Inequalities for Mellin Convolutions and their Applications

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