Analysis reveals saturation order and class in Fourier series within C and L_p spaces, indicating the role of the biharmonic Poisson operator.
The paper considers the issues of saturation in the spaces C and Lₚ, p∈ [1;∞ ) of the biharmonic Poisson operator, in particular, the order and class of saturation are found.
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Shutovskyi et al. (2025) studied this question.
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