Partial retractions for abstract Hardy-type spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 51, Tome 527 (2023), pp. 84-93
Citer cet article
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
The existence of partial retractions is proved for Hardy-type spaces in the framework of a recent abstract approach by Borovitskiy and the author. The starting point for this abstract construction is a certain uniform algebra more general than a $w^*$-Dirichlet algebra.
[1] V. A. Borovitskii, S. V. Kislyakov, “Interpolyatsiya abstraktnykh prostranstv tipa Khardi”, Zap. nauchn. semin. POMI, 503, 2021, 25–56
[2] S. Kisliakov, Q. Xu, “Partial retractions for weighted Hardy spaces”, Studia Math., 138:3 (2000), 251–264
[3] S. Kisliakov, “Interpolation of Hardy spaces: some recent developments”, Israel Math. Conf. Proc., 13 (1999), 102–140