On the setting of bounded smooth domains, we study positive Toeplitz operators between the harmonic Bergman spaces. We give characterizations of bounded and compact Toeplitz operators taking one harmonic Bergman space into another in terms of certain Carleson and vanishing Carleson measures.
@article{1113246553,
author = {Choe, Boo R. and Lee, Young J. and Na, Kyunguk},
title = {Positive Toeplitz operators from a harmonic Bergman space into another},
journal = {Tohoku Math. J. (2)},
volume = {56},
number = {1},
year = {2004},
pages = { 255-270},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246553}
}
Choe, Boo R.; Lee, Young J.; Na, Kyunguk. Positive Toeplitz operators from a harmonic Bergman space into another. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp. 255-270. http://gdmltest.u-ga.fr/item/1113246553/