2009/05/05 by Rachid Zarouf, Zarouf, Rachid
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.0905.0573
Given a finite set σof the unit disc \mathbbD=z∈ℂ:, |z|<1 and a holomorphic function f in \mathbbD which belongs to a class X, we are looking for a function g in another class Y (smaller than X) which minimizes the norm |g|Y among all functions g such that g|σ=f|σ.