%0 Journal Article
%A Hernández Rodríguez, Francisco Luis
%A Ruiz Bermejo, César
%T Averaging and orthogonal operators on variable exponent spaces L-p(.) (Omega)
%D 2014
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/33477
%X Given a measurable space (Omega, mu) and a sequence of disjoint measurable subsets A = (A(n))(n), the associated averaging projection P-A and the orthogonal projection T-A are considered. We study the boundedness of these operators on variable exponent spaces L-P(.) (Omega). These operators are unbounded in general. Sufficient conditions on the sequence A in order to achieve that P-A or T-A be bounded are given. Conditions which provide the boundedness of P-A imply that T-A is also bounded. The converse is not true. Some applications are given. In particular, we obtain a sufficient condition for the boundedness of the Hardy-Littlewood maximal operator on spaces L-P(.) (Omega).
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