The convergence of Fourier–Jacobi series in the spaces L p,A,B is studied in the case where the Lebesgue constants are unbounded.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 6, pp. 814–828, June, 2010.
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Motornyi, V.P., Goncharov, S.V. & Nitiema, P.K. On the mean convergence of Fourier–Jacobi series. Ukr Math J 62, 943–960 (2010). https://doi.org/10.1007/s11253-010-0402-y
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DOI: https://doi.org/10.1007/s11253-010-0402-y