Brennan’s conjecture for weighted composition operators
نویسندگان
چکیده
We show that Brennan’s conjecture is equivalent to the existence of self-maps of the unit disk that make certain weighted composition operators compact.
منابع مشابه
Composition Operators on a Class of Analytic Function Spaces Related to Brennan’s Conjecture
Brennan’s conjecture in univalent function theory states that if τ is any analytic univalent transform of the open unit disk D onto a simply connected domain G and −1/3 < p < 1, then 1/(τ ′)p belongs to the Hilbert Bergman space of all analytic square integrable functions with respect to the area measure. We introduce a class of analytic function spaces La(μp) on G and prove that Brennan’s conj...
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