We consider the problem of saturation of the linear methods of summation of Fourier series in the spaces S p φ specified by arbitrary sequences of functions defined in a certain subset of the space ℂ. Sufficient conditions for the saturation of the indicated methods in these spaces are established.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 60, No. 6, pp. 815–828, June, 2008.
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Shydlich, A.L. Saturation of the linear methods of summation of Fourier series in the spaces S p φ . Ukr Math J 60, 950–966 (2008). https://doi.org/10.1007/s11253-008-0107-7
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DOI: https://doi.org/10.1007/s11253-008-0107-7