2019Journal of Inequalities and ApplicationsOpen access

Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

Г. Акишев, Lars‐Erik Persson, Andreas Seger

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Abstract

A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.

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A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.

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Available abstract

A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.

Key concepts: Mathematics, Lorentz transformation, Lorentz space, Convergence (economics), Pure mathematics, Inequality, Fourier series, Fourier transform

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