MULTIPLICATION OPERATOR BETWEEN WEIGHTED SPACES OF HOLOMORPHIC FUNCTIONS ON THE UPPER HALF PLANE

In this paper, we study pointwise multiplication op- erator from weighted spaces of holomorphic functions into itself. we find necessary and sufficient conditions for boundedness and invertbilty of multiplication operator. Also, we show that mul- tiplication operator is not a compact operator, but it can be a Fredhom operator under a certain condition.