Interpolating sequences for the Bergman space and the ∂-equation in weighted Lᵖ
Luecking, Daniel H.
Original · EN
The author showed that a sequence in the unit disk is a zero sequence for the Bergman space Aᵖ if and only if a certain weighted space Lᵖ(W contains a nontrivial analytic function. In this paper it is shown that the sequence is an interpolating sequence for Aᵖ if and only if it is separated in the hyperbolic metric and the ∂-equation (1 - |z|²)∂ u = f has a solution u belonging to Lᵖ(W) for every f in Lᵖ(W).
English translation
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