33 citations · 37 across the 5 of their papers we have counts for
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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 $…
Extension and boundedness of operators on Morrey spaces from extrapolation techniques and embeddings
Javier Duoandikoetxea, Marcel Rosenthal
We prove that operators satisfying the hypotheses of the extrapolation theorem for Muckenhoupt weights are bounded on weighted Morrey spaces. As a consequence, we obtain at once a…