LIPSCHITZ CONTINUOUS AND COMPACT COMPOSITION OPERATOR ACTING BETWEEN SOME WEIGHTED GENERAL HYPERBOLIC-TYPE CLASSES
نویسندگان
چکیده
منابع مشابه
Lipschitz continuous and compact composi- tion operators in hyperbolic classes
Natural metrics in the hyperbolic α-Bloch-, weighted Dirichletand Qp-classes are introduced, and these classes are shown to be complete metric spaces with respect to the corresponding metrics. Then Lipschitz continuous and compact composition operators Cφ(f) = f ◦φ acting from the hyperbolic α-Bloch-class to the hyperbolic weighted Dirichletor Qp-class are characterized by conditions depending ...
متن کاملWeighted Composition Operators Between Extended Lipschitz Algebras on Compact Metric Spaces
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.
متن کاملComposition Operators Acting between Some Weighted Möbius Invariant Spaces
In this paper we investigate conditions under which a holomorphic self-map of the unit disk induces a composition operator Cφ with closed range on the weighted Bloch space Blog. Also, we introduce a new class of functions the so called Flog(p, q, s) spaces. Necessary and sufficient conditions are given for a composition operator Cφ to be bounded and compact from Blog to Flog(p, q, s). Moreover,...
متن کاملCompact Composition Operator on Weighted Bergman-Orlicz Space
In this paper we study the weighted Bergman-Orlicz spaces Aα. Among other properties we get that Aα is a Banach space with the Luxemburg norm. We show that the set of analytic polynomials is dense in Aα. We also study compactness and continuity of the composition operator on Aα. Mathematics Subject Classification: 46E30, 47B33
متن کاملCompact composition operators on certain analytic Lipschitz spaces
We investigate compact composition operators on ceratin Lipschitzspaces of analytic functions on the closed unit disc of the plane.Our approach also leads to some results about compositionoperators on Zygmund type spaces.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Korean Journal of Mathematics
سال: 2016
ISSN: 1976-8605
DOI: 10.11568/kjm.2016.24.4.647