On the dimension of the Fock type spaces
Alexander Borichev, Van An Le, Hassan Youssfi
TL;DR
This paper investigates the dimensions of weighted Fock spaces in multiple complex variables, providing new formulas and extending previous results by Rozenblum-Shirokov and Shigekawa.
Contribution
It offers a comprehensive evaluation of the dimension of weighted Fock spaces, advancing the understanding of their structure in complex analysis.
Findings
Derived explicit formulas for the dimension of weighted Fock spaces.
Extended previous results to higher dimensions and broader classes of weights.
Provided new insights into the structure of Fock spaces in several complex variables.
Abstract
We study the weighted Fock spaces in one and several complex variables. We evaluate the dimension of these spaces in terms of the weight function extending and completing earlier results by Rozenblum-Shirokov and Shigekawa.
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