Sequences of operators bounded in measure
Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 35-58
Voir la notice de l'article provenant de la source Math-Net.Ru
The E. Stein and E. M. Nikishin criteria for continuity of an operator in measure are extended to the case of sequences of operators pointwise bounded in measure. The results obtained are applied to studying convergence in measure of multiple Fourier series and summation methods for them.
@article{SM_1995_81_1_a2,
author = {S. A. Pichugov},
title = {Sequences of operators bounded in measure},
journal = {Sbornik. Mathematics},
pages = {35--58},
publisher = {mathdoc},
volume = {81},
number = {1},
year = {1995},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_81_1_a2/}
}
S. A. Pichugov. Sequences of operators bounded in measure. Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 35-58. http://geodesic.mathdoc.fr/item/SM_1995_81_1_a2/