Hochschild cohomology groups of certain algebras of analytic functions with coefficients in one-dimensional bimodules
Volume 137 / 1999
Studia Mathematica 137 (1999), 1-31
DOI: 10.4064/sm-137-1-1-31
Abstract
We compute the algebraic and continuous Hochschild cohomology groups of certain Fréchet algebras of analytic functions on a domain U in $ℂ^n$ with coefficients in one-dimensional bimodules. Among the algebras considered, we focus on A=A(U). For this algebra, our results apply if U is smoothly bounded and strictly pseudoconvex, or if U is a product domain.
