457 research outputs found
Circle packing and interpolation in Fock spaces
It was shown by James Tung in 2005 that if a sequence of points
in the complex plane satisfies then
is a sequence of interpolation for the Fock space . Using
results from circle packing, we show that the constant above can be improved to
which is strictly smaller than
. A similar result will also be obtained for sampling sequences.Comment: 7 page
Fock-Sobolev spaces and their Carleson measures
We consider the Fock-Sobolev space consisting of entire functions
such that , the -th order derivative of , is in the Fock
space . We show that an entire function is in if and only if
the function is in . We also characterize the Carleson measures
for the spaces , establish the boundedness of the weighted Fock
projection on appropriate spaces, identify the Banach dual of ,
and compute the complex interpolation space between two spaces.Comment: A revised version has been published in Journal of Functional
Analysi
Integral operators induced by the Fock kernel
We study the boundedness and find the norm of a class of integral
operators induced by the reproducing kernel of Fock spaces over .Comment: 21 page
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