We give a proof of the uniform boundedness principle for linear continuous maps from F-spaces into topological vector spaces which is elementary and also quite simple.
We consider topological attractors of (possibly infinite) iterated function systems. It is shown that for some class of non-expansive mappings the boundedness of the set of all globally attractive fixed points is equivalent to the boundedness of the attractor. Moreover, such a system fullfils the so-called address theorem.
The purpose of this paper is to establish the boundedness for some multilinear operators generated by Marcinkiewicz integral operators and Lipschitz functions on Hardy and Herz-Hardy spaces.
The aim of this paper is to prove results on solutions of the Schröder equation (1) defined on cones in Banach spaces and having some properties connected with monotonicity and boundedness.
In this paper, the sharp estimates for some multilinear commutators related to certain sublinear integral operators are obtained. The operators include Littlewood-Paley operator and Marcinkiewicz operator. As application, we obtain the weighted Lp (p > 1) inequalities and LlogL type estimate for the multilinear commutators.
2006-09-29
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English