Cristina Diogo
In this talk the Riemann-Hilbert
problem with matrix coefficient
is considered, assuming the
existence of a non trivial solution
with
belonging to the Hardy spaces
and such that
or
vanishes in some point of the corresponding half-plane
or
, respectively. The results are
used to study the Fredholm properties of Toeplitz operators with
such a matrix symbol
in the Hardy spaces
.