Title of article :
Density of polynomials in certain weighted Dirichlet type spaces
Author/Authors :
Abkar, A. Imam Khomeini International University, Qazvin
Abstract :
We study weighted Dirichlet type spaces in the unit disk. We prove that analytic polynomials are dense in weighted Dirichlet type spaces if the (non-radial) weight function is super-biharmonic and satisfies a growth condition up to the boundary.
Keywords :
Weighted Dirichlet space , approximation in norm , non-radial weight function , super-biharmonic function
Journal title :
Journal of Mathematical Extension(IJME)
