In recent papers, B. Choe, H. Koo, K. Na (see [3]) and Loaiza, M. Lopez-Garcia e S. Perez-Esteva (see [5]) studied conditions in order to a Toeplitz operator, acting on the harmonic Bergman space over the unit ball in R n and on analytic Bergman space on the unit disk in the complex plane, respectively, belong to the so-called Schaten-Herz class.The purpose of this note is to prove necessary and sufficient conditions in order to a Toeplitz operator Tµ with positive symbol, acting on the harmonic Bergman space on the unit ball in R n belong to a Schatten-Herz class S F E , associated with a pair of rearrangement invariant sequence spaces E and F. The conditions involve the Berezin transform µ of its symbol and the average functionμ δ on some euclidian discs. The main point is the characterization of Toeplitz operators, that belong to Schatten ideals SE associated with an arbitrary rearrangement invariant sequence space E. (2000). Primary 47B35, 47B10; Secondary 46E30, 46B10. Mathematics Subject Classification

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We study membership to Schatten ideals S E , associated with a monotone RieszFischer space E, for the Hankel operators H f defined on the Hardy space H 2 (∂D). The conditions are expressed in terms of regularity of its symbol: we prove that H f ∈ S E if and only if f ∈ B E , the Besov space associated with a monotone Riesz-Fischer space E(dλ) over the measure space (D, dλ) and the main tool is the interpolation of operators.

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