September 18, 2024

L¹-Convergence of Double Fourier Transform in Lᵖ (R) Spaces, p≥1

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Resumen

In this research article, we have given a method which restrict the double fourier transform of fϵLᵖ (R) spaces, 1≤p≤∞. Further, we have discussed the convergence by using the approximate identities. The aim of this paper is to extend the results of K. Devendra and S. Dimple3 from one dimensional to two-dimensional trigonometric series.

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Sakshi Sakshi (Wed,) studied this question.

synapsesocial.com/papers/68e58323b6db643587520108 https://doi.org/https://doi.org/10.52783/cana.v32.1681

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2CLASSES OF L1-CONVERGENCE OF FOURIER SERIES2024
3On Convergence in Norm of Functions in L^p Spaces by Convolution Using Dilation Kernel2025
4On $$L_p$$-Integrability of Multiple Trigonometric Series with General Monotone Coefficients2025
5$L^p$ averages of the Fourier transform in finite fields2024

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