For strongly convex domains Ω with strongly convex dual Ω*, the Fantappiè and Laplace transforms map A^p(Ω) isomorphically onto A^p(Ω*) and a weighted Bergman space, and the l1 ball in C^2 shows the planar results do not extend to all convex domains.
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Dual realizations of Bergman spaces on strongly convex domains
For strongly convex domains Ω with strongly convex dual Ω*, the Fantappiè and Laplace transforms map A^p(Ω) isomorphically onto A^p(Ω*) and a weighted Bergman space, and the l1 ball in C^2 shows the planar results do not extend to all convex domains.