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/