A configuration module and removable sets
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 36-42
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper, we introduce a new class of polycondensers and show that the polycondenser capacity is equal to the module of polycondenser. Also it is proved that the sets which are removable for the condenser capacity are removable for the polycondenser module.
@article{ZNSL_2015_440_a2,
author = {I. N. Demshin and V. A. Shlyk},
title = {A configuration module and removable sets},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {36--42},
year = {2015},
volume = {440},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a2/}
}
I. N. Demshin; V. A. Shlyk. A configuration module and removable sets. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 36-42. http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a2/
[1] V. V. Aseev, B. Yu. Sultanov, Moduli polikondensatorov i izomorfizmy prostranstv sledov nepreryvnykh funtsii klassa $W^1_n$, Preprint No 31, SO AN SSSR, In-t mat., Novosibirsk, 1989 | MR | Zbl
[2] G. M. Goluzin, Geometricheskaya teoriya funktsii kompleksnogo peremennogo, M., 1966
[3] Yu. V. Dymchenko, V. A. Shlyk, “Dostatochnost semeistva lomanykh v metode modulei i ustranimye mnozhestva”, Sib. mat. zh., 51:6 (2010), 1028–1042 | MR | Zbl
[4] Yu. V. Dymchenko, V. A. Shlyk, “Nekotorye svoistva emkosti i modulya polikondensatora i ustranimye mnozhestva”, Zap. nauchn. semin. POMI, 392, 2011, 84–94 | MR
[5] L. Ahlfors, A. Beurling, “Conformal invariants and function-theoretic null-sets”, Acta Mathematica, 83 (1950), 101–129 | DOI | MR | Zbl