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{\bf{James Tung* (yanchun.tung@gmail.com)}}, Department of
Mathematics, DePaul University, 2320 N. Kenmore Ave., Chicago, IL
60614. \newline {{\it{ Taylor coefficients of functions in Fock
spaces.}}}
\newline For analytic functions on the unit disk, the classical
Hausdorff-Young and Hardy-Littlewood theorems describe necessary
or sufficient conditions for the functions to belong to Hardy
spaces. The conditions are in terms of the Taylor coefficients of
the functions. We will show that there are analogous conditions
for entire functions to belong to Fock spaces, and that these
conditions can be improved in certain senses.







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