Weighted Morrey spaces
Javier Duoandikoetxea (Euskal Herriko Unibertsitatea)
Abstract: This talk is an account of my work on Morrey spaces with Marcel Rosenthal in recent years.
There are several definitions for weighted Morrey spaces. We obtain boundedness results in all of them for operators satisfying the assumptions of the usual extrapolation theorem, that is, we get weighted Morrey estimates from weighted Lebesgue estimates with $A_p$ weights. The results can be applied to a variety of operators and together with the norm estimates, our technique also provides the definition of the operator by embedding.
Recently we obtained results for a more general class of weighted Morrey spaces from an extension of the usual Muckenhoupt condition to the Morrey setting, involving the Khöthe dual of the space. In some cases the conditions characterize the weighted inequalities of maximal operators.
classical analysis and ODEsfunctional analysis
Audience: researchers in the topic
Series comments: Please write to seminarivaa@gmail.com to subscribe to our mailing list and receive streaming details.
The streaming details will also be made available on our website
sites.google.com/view/seminarivaa/
a few minutes before the seminar starts.
| Organizers: | Alessandro Monguzzi*, Valentina Casarino, Bianca M. Gariboldi, Stefano Meda |
| *contact for this listing |