Abstract. In this paper, we investigate some classic properties of weighted Lambert type operators on L p spaces.Mathematics subject classification (2010): 47B47.
Composition operators and multiplication operators between two Orlicz function spaces are investigated. First, necessary and sufficient conditions for their continuity are presented in several forms. It is shown that, in general, the Radon-Nikodým derivativeNext, the problem of compactness of these operators is considered. We apply a compactness criterion in Orlicz spaces which involves compactness with respect to the topology of local convergence in measure and equi-absolute continuity in norm of all the elements of the set under consideration. In connection with this, we state some sufficient conditions for equi-absolute continuity of the composition operator c τ and the multiplication operator M w from one Orlicz space into another. Also the problem of necessary conditions is discussed.
MSC: Primary 47B33; secondary 46E30
In this paper we consider a generalized conditional-type Holderinequality and investigate some classic properties of multiplication conditional expectation type operators on Orlicz-spaces.1991 Mathematics Subject Classification. 47B47.
Abstract. In this note basic properties of unbounded weighted conditional expectation operators are investigated. A description of polar decomposition and quasinormality in this context are provided. Also, we give some necessary and sufficient conditions for EMu to leave invariant it's domain. Finally, some examples are provided to illustrate concrete application of the main results of the paper.
In this paper, we consider the generalized integration operator from mixed-norm space into Zygmund-type and Bloch-type spaces and find an estimation for the essential norm of this operator.
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