On bisingular integral operators with discontinuous coefficients
Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 515-537
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Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Lyapunov curves with discontinuous coefficients in the $L_p$-spaces with a weight to be Noetherian. The Banach algebra generated by these operators is studied; a regularizer is constructed in the case of continuous coefficients.
Bibliography: 40 titles.
@article{SM_1976_30_4_a5,
author = {R. V. Duduchava},
title = {On bisingular integral operators with discontinuous coefficients},
journal = {Sbornik. Mathematics},
pages = {515--537},
publisher = {mathdoc},
volume = {30},
number = {4},
year = {1976},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1976_30_4_a5/}
}
R. V. Duduchava. On bisingular integral operators with discontinuous coefficients. Sbornik. Mathematics, Tome 30 (1976) no. 4, pp. 515-537. http://geodesic.mathdoc.fr/item/SM_1976_30_4_a5/