Geodesic
On the convergence of the Luzin integral and its analogues
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 85-95.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the convergence at a fixed point of the singular integral of Luzin and its analogues. We present sufficient conditions in terms of the Fourier coefficients of the given integrable function for such convergence.
Keywords: trigonometric conjugate function, trigonometric conjugate series, Luzin integral. 
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K. I. Knizhov; I. V. Podvigin. On the convergence of the Luzin integral and its analogues. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 85-95. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a127/

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