Weighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operat...
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این پایان نامه بر اساس مقالات زیر تدوین گردیده است:
• m. r. jabarzadeh the essential...
Journal:
:bulletin of the iranian mathematical society2015
m. r. jabbarzadeh f. talebi
in this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.
Journal:
:sahand communications in mathematical analysis2015
mostafa hassanlou
in this paper, we considered composition operators on weighted hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a hilbert-schmidt characterization and characterizes the membership in schatten-class for these operators. also, closed range composition operators are investigated.
In this paper, we characterize the bonudedness and compactness of weighted composition operators from weighted Bergman spaces to weighted Bloch spaces. Also, we investigate weighted composition operators on weighted Bergman spaces and extend the obtained results in the unit ball of $mathbb{C}^n$.
In this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $L^{2}(Sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$A$. Then we show that weighted composition operators can separate these classes.
In this paper, we provide a complete description of weighted composition operators between extended Lipschitz algebras on compact metric spaces. We give necessary and sufficient conditions for the injectivity and the sujectivity of these operators. We also obtain some sufficient conditions and some necessary conditions for a weighted composition operator between these spaces to be compact.
Journal:
:bulletin of the iranian mathematical society0
h. emamalipour faculty of mathematical sciences, university of tabriz, p.o. box 5166615648,
tabriz, iran. m. r. jabbarzadeh faculty of mathematical sciences, university of tabriz, p.o. box 5166615648,
tabriz, iran. z. moayyerizadeh faculty of mathematical sciences, university of tabriz, p.o. box 5166615648,
tabriz, iran.
in this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $l^{2}(sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$a$. then we show that weighted composition operators can separate these classes.
In this paper, we considered composition operators on weighted Hilbert spaces of analytic functions and observed that a formula for the essential norm, gives a Hilbert-Schmidt characterization and characterizes the membership in Schatten-class for these operators. Also, closed range composition operators are investigated.
In this paper, we consider weighted composition operators betweenmeasurable differential forms and then some classic properties of these operators are characterized.