Boundedness and Compactness of products of Toeplitz operators on the Bergman Space
Agbor, Dieudonne
Original · EN
In a celebrated conjecture D.Sarason stated a necessary and sufficient condition on the symbols f, g in the Bergman space, L²ₐ(Δ) of the unit disk, Δ, for the products TfT g of associated Toeplitz operators to be bounded (respectively compact) on L²ₐ(Δ). K. Stroethoff and D. Zheng proved that these conditions are necessary. We prove the sufficiency of these conditions, thus solvind Sarason's conjecture.
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