On Truncations of Hankel and Toeplitz Operators
نویسندگان
چکیده
We study the boundedness properties of truncation operators acting on bounded Hankel (or Toeplitz) infinite matrices. A relation with the Lacey-Thiele theorem on the bilinear Hilbert transform is established. We also study the behaviour of the truncation operators when restricted to Hankel matrices in the Schatten classes. 1. Statement of results In this note we will be dealing with infinite matrices B = (bm,n)m,n≥0, bm,n ∈ C, which we identify with linear operators on l(N). More precisely we assume that sup n ∑
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