Singular Integral Operators and Essential Commutativity on the Sphere
نویسنده
چکیده
Let T be the C∗-algebra generated by the Toeplitz operators {Tφ : φ ∈ L∞(S, dσ)} on the Hardy space H(S) of the unit sphere in C. It is well known that T is contained in the essential commutant of {Tφ : φ ∈ VMO∩L∞(S, dσ)}. We show that the essential commutant of {Tφ : φ ∈ VMO∩L∞(S, dσ)} is strictly larger than T .
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