Essentially commuting Hankel and Toeplitz operators.
Let \(T_f\) and \(H_g\) denote Toeplitz and Hankel operators in the Hardy space \(H^2\) which is a subspace of \(L^2 (\partial D, d\sigma),\) where \(d\sigma\) is the normalized Lebesgue measure on the unit circle \(\partial D\). The authors study the question when the commutator \([H_g, T_f]=H_gT_f-T_fH_g\) of Hankel and Toeplitz operators is compact. They find some criteria for \([H_g, T_f]\) to be compact.
scientific article; zbMATH DE number 1970666
scientific article