ON CERTAIN INEQUALITIES FOR FOURIER COEFFICIENTS

Amir Kamaly

doi:10.55937/sut/991985307

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Home > Journals > SUT J. Math. > Volume 34 > Issue 2 > Article

June 1998 ON CERTAIN INEQUALITIES FOR FOURIER COEFFICIENTS

Amir Kamaly

Author Affiliations +

Amir Kamaly¹
¹Department of Electromagnetic Theory, Royal Institute of Technology, S-100 44 Stockholm, Sweden.

SUT J. Math. 34(2): 91-103 (June 1998). DOI: 10.55937/sut/991985307

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Abstract

A new proof of the one-dimensional Carlson inequality of discrete and integral type is introduced. Also, a new proof of the multidimensional Carlson inequality of integral type is presented. Additionally, the duality between the discrete and integral type of Carlson’s inequality are explored.

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Amir Kamaly. "ON CERTAIN INEQUALITIES FOR FOURIER COEFFICIENTS." SUT J. Math. 34 (2) 91 - 103, June 1998. https://doi.org/10.55937/sut/991985307

Information

Received: 31 March 1998; Published: June 1998

First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/991985307

Subjects:

Primary: 26D15 , 42AXX , 42BXX , 47A30 , 47A63

Keywords: Carlson’s inequalities , Discrete and integral inequalities , Hilbert’s inequalities , multidimensional inequalities , the Hausdorff-Young inequality

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