Circle Packing and Interpolation in Fock Spaces
نویسندگان
چکیده
It was shown by James Tung in 2005 that if a sequence Z = {zn} of points in the complex plane satisfies inf n6=m |zn − zm| > 2/ √ α, then Z is a sequence of interpolation for the Fock space F p α . Using results from circle packing, we show that the constant above can be improved to √ 2π/( √ 3α), which is strictly smaller than 2/ √ α. A similar result will also be obtained for sampling sequences.
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