In studying the Hadamard multipliers of weighted Dirichlet spaces, we face with infinite L-shaped matrices which act as bounded operators on the Hilbert space $\ell^2$. For such matrices, we usually have an estimation of the norm. This class is no exception and we provide some bounds for the norm. However, our techniques are optimal since in some special cases we succeed to precisely evaluate the norm.

Joint work with Ludovick Bouthat.