Abstract:
We describe the boundedness of linear operators from the
weighted Bergman spaces ,under some conditions on the weight
function ,into a general Banach space by means of the growth
conditions at the boundary of certain fractional derivatives of a
single X-valued analytic function .
And we find the multipliers of Hardy space into Bergman
space when the regions are simply connected regions .We show
that the only functions that can have the wandering property in
Bergman space are the inner functions ,and we investigate
which boundary points in the closed unit ball at the Bergman
space are strongly exposed .
