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arXiv · 2012.00550

Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials

B. P. Osilenker
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Abstract

In the paper we study the multipliers of Fourier series in polynomials orthogonal in continuous-discrete Sobolev's spaces. Multiplier Theorem for Fourier-Sobolev series is obtained. This result is based on the representation of the Fej\'er kernel, on the construction of the "humpbacked majorant" and weighted estimates of maximal functions.

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BibTeXRIS

B. P. Osilenker. 2020-11-28. Multiplier Theorem for Fourier Series in continuous-discrete Sobolev orthogonal polynomials. https://arxiv.org/abs/2012.00550

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