The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality
Functional Analysis
2016-07-18 v2
Abstract
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 spaces. We combine this fact with basic extrapolation techniques due to Rubio de Francia adapted to weighted Morrey spaces. This leads to new results on the boundedness of operators even for the unweighted case.
Keywords
Cite
@article{arxiv.1606.06584,
title = {The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality},
author = {Marcel Rosenthal and Hans-Juergen Schmeisser},
journal= {arXiv preprint arXiv:1606.06584},
year = {2016}
}