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

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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. 
@article{SEMR_2019_16_a127,
     author = {K. I. Knizhov and I. V. Podvigin},
     title = {On the convergence of the {Luzin} integral and its analogues},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {85--95},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a127/}
}
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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/