Applications of Littlewood-Paley Theory for B˙σ-Morrey Spaces to the Boundedness of Integral Operators

الملخص EN

The boundedness of the various operators on B˙σ-Morrey spaces is considered in the framework of the Littlewood-Paley decompositions.

First, the Littlewood-Paley characterization of B˙σ-Morrey-Campanato spaces is established.

As an application, the boundedness of Riesz potential operators is revisted.

Also, a characterization of B˙σ-Lipschitz spaces is obtained: and, as an application, the boundedness of Riesz potential operators on B˙σ-Lipschitz spaces is discussed.