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Reducing problem of multiplication operators on Bergman space

✍ Scribed by Dahai Yu; Shunhua Sun


Publisher
Springer
Year
1997
Tongue
English
Weight
43 KB
Volume
42
Category
Article
ISSN
1001-6538

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Let be a bounded analytic function on a simply connected domain βŠ† C. For a large family of weights we characterize when a pointwise multiplication operator M , M (f )(z)= (z)f (z), defined on a weighted Bergman space A p w ( ) on has closed range. In particular, the result holds for weights w(z) = (

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