Besov-Morrey Spaces And Some Related Operators

In this thesis,some basic properties of Besov-Morrey spaces Bp?(s)are introduced and studied.For example:the boundedness and compactness of identity operators,the boundedness and compactness of Volterra integral operators,the closures of Besov-Morrey spaces in Bloch norm,Corona and Wolff theorems for the multiplier algebras of Besov-Morrey spaces.It is primarily divided into the following four aspects:1.The boundedness and compactness of the identity operators Id on Besov-Morrey spaces are studied by using the classical Carleson measure.When p=q,the boundedness and compactness of the identity operators from Bp?(s)spaces to tent spaces Ttp(?)are characterized.When p