Singular Integral Operators and Essential Commutativity on the Sphere
2010 ◽
Vol 62
(4)
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pp. 889-913
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AbstractLet 𝒯 be the C*-algebra generated by the Toeplitz operators {T𝜑 : 𝜑 Є L∞(S, dσ)} on the Hardy space H2(S) of the unit sphere in Cn. It is well known that 𝒯 is contained in the essential commutant of {T𝜑 : 𝜑 Є VMO∩L∞(S, dσ)}. We show that the essential commutant of {T𝜑 : 𝜑 Є VMO∩L∞(S, dσ)} is strictly larger than 𝒯.
1998 ◽
Vol 41
(2)
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pp. 196-206
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1967 ◽
pp. 127-146
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1972 ◽
Vol 24
(5)
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pp. 915-925
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1973 ◽
Vol 23
(5)
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pp. 433-439
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Keyword(s):
2014 ◽
Vol 414
(1)
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pp. 480-487
Keyword(s):
Keyword(s):