On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-6,
author = {Boo Rim Choe and Hyungwoon Koo and Young Joo Lee},
title = {Positive Schatten class Toeplitz operators on the ball},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {65-90},
zbl = {1155.47030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-6}
}
Boo Rim Choe; Hyungwoon Koo; Young Joo Lee. Positive Schatten class Toeplitz operators on the ball. Studia Mathematica, Tome 187 (2008) pp. 65-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-1-6/