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LetB be a certain Banach space consisting of analytic func-tions dened on a bounded domain G in the complex plane. Let ' be ananalytic polynomial or a rational function and let M ' denote the operatorof multiplication by '. Under certain condition on ' and G, we charac-terize the commutant ofM ' that is the set of all bounded operators Tsuch that TM' = M ' T. We show that T = M Ψ for some function Ψ inB.
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참고문헌 (9)
참고문헌 신청
/ 1991 / Commuting Toeplitz operators with harmonic symbols
/ 1994 / Commutants of Toeplitz operators on the Bergman space
/ 1995 / Commutants of Toeplitz operators on the ball and annulus 37 (3) : 303 ~ 309
/ 2000 / Commutants of analytic Toeplitz operators onthe Bergman space 128 (7) : 1951 ~ 1953
/ 2001 / On the commutant of operators of multiplication byunivalent functions 129 (8) : 2379 ~ 2383
/ 1994 / Commutants of Toeplitz operators on the Bergman space
/ 1995 / Commutants of Toeplitz operators on the ball and annulus 37 (3) : 303 ~ 309
/ 2000 / Commutants of analytic Toeplitz operators onthe Bergman space 128 (7) : 1951 ~ 1953
/ 2001 / On the commutant of operators of multiplication byunivalent functions 129 (8) : 2379 ~ 2383
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