Abstract
In this paper,we continue the study of finite sum of weighted composition
operators between different Lp-spaces that was investigated by Jabbarzadeh
and Estaremi in 2012. Indeed, we first obtain some necessary and sufficient
conditions for boundedness of the finite sums of weighted composition
operators between distinct Lp-spaces. In the sequel, we investigate the
compactness of finite sum of weighted composition operators. By using
theorems of boundedness and compactness, we estimate the essential norms of
these operators. Finally, some examples to illustrate the main results are
given.
Publisher
National Library of Serbia