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We obtain a new criterion for the boundedness and compactness of the weighted composition operators ψCφ from Bα(0 < α < 1) to Bβ in terms of the sequence {ψφn}. An estimate for the essential norm of ψCφ is also given.
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참고문헌 (16)
참고문헌 신청
A. Montes-Rodriguez / 2000 / Weighted composition operators on weighted Banach spaces of analytic functions / J. London Math. Soc 61 (3) : 872 ~ 884
B. Maccluer / 2003 / Essential norm of weighted composition operators between Bloch-type spaces / Rocky Mountain J. Math 33 (4) : 1437 ~ 1458
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Func-tions, Studies in Advanced Mathematics / CRC Press
H. Wulan / 2009 / Compact composition operators on BMOA and the Bloch space / Proc. Amer. Math. Soc 137 (11) : 3861 ~ 3868
J. Anderson / 1974 / On Bloch functions and normal functions / J. Reine Angew. Math 270 : 12 ~ 37
B. Maccluer / 2003 / Essential norm of weighted composition operators between Bloch-type spaces / Rocky Mountain J. Math 33 (4) : 1437 ~ 1458
C. C. Cowen / 1995 / Composition Operators on Spaces of Analytic Func-tions, Studies in Advanced Mathematics / CRC Press
H. Wulan / 2009 / Compact composition operators on BMOA and the Bloch space / Proc. Amer. Math. Soc 137 (11) : 3861 ~ 3868
J. Anderson / 1974 / On Bloch functions and normal functions / J. Reine Angew. Math 270 : 12 ~ 37
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