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The bidual of the closure of smooth functions with respect to the Morrey normcoincides with the Morrey space. This assertion is generalized to someMuckenhoupt weighted Morrey spaces. We combine this fact with basicextrapolation techniques due to Rubio de Francia adapted to weighted Morreyspaces. This leads to new results on the boundedness of operators even for theunweighted case.

The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality