Geodesic
The behavior of a~singular integral with the Hilbert kernel near a~point where the density of the integral is weakly continuous
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 61-66

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We study the behavior of a singular integral with the Hilbert kernel near a point where the continuous density of the integral does not satisfy the Hölder condition and, as a result, the integral, possibly, diverges.
Keywords: singular integral, weak continuity.
Mots-clés : Hilbert kernel 
@article{IVM_2012_6_a6,
     author = {R. B. Salimov},
     title = {The behavior of a~singular integral with the {Hilbert} kernel near a~point where the density of the integral is weakly continuous},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {61--66},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_6_a6/}
}
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R. B. Salimov. The behavior of a~singular integral with the Hilbert kernel near a~point where the density of the integral is weakly continuous. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2012), pp. 61-66. http://geodesic.mathdoc.fr/item/IVM_2012_6_a6/