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SUMS OF WEIGHTED COMPOSITION OPERATORS ON COP

Published online by Cambridge University Press:  02 August 2012

KEI JI IZUCHI ,
KOU HEI IZUCHI  and
YUKO IZUCHI
KEI JI IZUCHI
Affiliation:
Department of Mathematics, Niigata University, Niigata 950-2181, Japan e-mail: [email protected]
KOU HEI IZUCHI
Affiliation:
Department of Mathematics, Faculty of Education, Yamaguchi University, Yamaguchi 753-8511, Japan e-mail: [email protected]
YUKO IZUCHI
Affiliation:
Aoyama-Shinmachi 18-6-301, Nishi-ku, Niigata 950-2006, Japan e-mail: [email protected]
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Abstract

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Let COP = 0 ∩ H∞, where 0 is the little Bloch space on the open unit disk , and A() be the disk algebra on . For non-zero functions u1,u2,. . ., uN ∈ A() and distinct analytic self-maps ϕ1,ϕ2,. . .,ϕN satisfying ϕj ∈ A() and ∥ϕj∥∞=1 for every j, it is given characterisations of which the sum of weighted composition operators ∑Nj=1ujCϕj maps COP into A().

Keywords

Primary 47B3846J20Secondary 30D55
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 55 , Issue 1 , January 2013 , pp. 229 - 239
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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