Continuity and compactness of singular integral operators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 3-10

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In the space of square integrable functions we establish effective sufficient continuity and compactness conditions for singular integral operators with Cauchy kernels on a segment of the real axis.
Keywords: space of square integrable functions, singular integral with Cauchy kernel, linear operator, continuity, compactness.
@article{IVM_2009_8_a0,
     author = {B. G. Gabdulkhaev},
     title = {Continuity and compactness of singular integral operators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--10},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_8_a0/}
}
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B. G. Gabdulkhaev. Continuity and compactness of singular integral operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 3-10. http://geodesic.mathdoc.fr/item/IVM_2009_8_a0/