4 papers
Singular and fractional integral operators on weighted local Morrey spaces
Javier Duoandikoetxea, Marcel Rosenthal
We obtain a characterization of the weighted inequalities for the Riesz transforms on weighted local Morrey spaces. The condition is sufficient for the boundedness on the same spac…
Muckenhoupt-type conditions on weighted Morrey spaces
Javier Duoandikoetxea, Marcel Rosenthal
We define a Muckenhoup-type condition on weighted Morrey spaces using the Köthe dual of the space. We show that the condition is necessary and sufficient for the boundedness of the…
Boundedness properties in a family of weighted Morrey spaces with emphasis on power weights
Javier Duoandikoetxea, Marcel Rosenthal
We define a scale of weighted Morrey spaces which contains different weighted versions appearing in the literature. This allows us to obtain weighted estimates for operators in a u…
Boundedness of operators on certain power-weighted Morrey spaces beyond the Muckenhoupt weights
Javier Duoandikoetxea, Marcel Rosenthal
We prove that for operators satistying weighted inequalities with weights the boundedness on a certain class of Morrey spaces holds with weights of the form for $…