Geodesic
On multipliers for Fourier series in~Sobolev orthogonal polynomials
Sbornik. Mathematics, Tome 213 (2022) no. 8, pp. 1058-1095

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Multipliers are studied for Fourier series in polynomials orthogonal in continuous-discrete Sobolev spaces. For the multiplier operator, existence results and norm estimates are obtained. The proofs are based on a representation of the Fejér kernel, the construction of a ‘humpbacked majorant’ and estimates for the norms of maximal functions. Bibliography: 45 titles.
Keywords: Fourier series, Sobolev polynomials, norm of an operator.
Mots-clés : orthogonal polynomials, multipliers 
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     author = {B. P. Osilenker},
     title = {On multipliers for {Fourier} series {in~Sobolev} orthogonal polynomials},
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B. P. Osilenker. On multipliers for Fourier series in~Sobolev orthogonal polynomials. Sbornik. Mathematics, Tome 213 (2022) no. 8, pp. 1058-1095. http://geodesic.mathdoc.fr/item/SM_2022_213_8_a2/