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arxiv: 1309.6072 · v4 · pith:FLA67MZ3new · submitted 2013-09-24 · 🧮 math.CV · math.FA

Reproducing kernel estimates, bounded projections and duality on large weighted Bergman spaces

classification 🧮 math.CV math.FA
keywords bergmanestimatesspacesweighteddualitylargereproducingapplications
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We obtain ceratin estimates for the reproducing kernels of large weighted Bergman spaces. Applications of these estimates to boundedness of the Bergman projection on $L^p(\D,\omega ^{p/2})$, complex interpolation and duality of weighted Bergman spaces are given.

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