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math.FA2016
The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality
Marcel Rosenthal, Hans-Juergen Schmeisser
The bidual of the closure of smooth functions with respect to the Morrey norm coincides with the Morrey space. This assertion is generalized to some Muckenhoupt weighted Morrey spa…
math.FA2016
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…