Some New Results Concerning the Fourier Coefficient in Function Space Type of Lorentz−Morrey with Many groups of Variables

In this paper I provide more general notions for generalized Fourier series and convergence of Fourier series in Lorentz-Morrey space with many groups of variables. This conceptual ramework is very important in other areas in mathematics (such as ordinary and partial differential equations) and physics (such as quantum mechanics and electrodynamics). As applications I study of summability of Fourier coefficients for functions from some Lorentz-Morrey type spaces with many groups of variables.

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The authors declare no conflict of interest.

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The datasets used in this study are openly available at [repository link] and the source code is available on GitHub at [GitHub link].

This work did not receive any external funding.