Choe, Boo Rim; Koo, Hyungwoon; Lee, Young Joo Positive Schatten-Herz class Toeplitz operators on the ball. (English) Zbl 1229.47041 New York J. Math. 17a, 113-125 (2011). Summary: On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten-Herz class operator in terms of averaging functions and Berezin transforms. MSC: 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.) Keywords:Toeplitz operator; harmonic Bergman space; Schatten class; Schatten-Herz class PDFBibTeX XMLCite \textit{B. R. Choe} et al., New York J. Math. 17a, 113--125 (2011; Zbl 1229.47041) Full Text: EuDML EMIS