The admissible weight exponent sets for embeddings between weighted Bergman-Orlicz spaces are convex under log-convexity conditions on growth function inverses, and growth function pairs are log-convex under natural inverse interpolation.
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Convexity of the embedding parameter sets of some analytic function spaces
The admissible weight exponent sets for embeddings between weighted Bergman-Orlicz spaces are convex under log-convexity conditions on growth function inverses, and growth function pairs are log-convex under natural inverse interpolation.