R. Musina | Higher order Hardy-type inequalities and higher order fractional Laplacians
Channel: EIMI, PDMI RAS and Chebyshev Laboratory
Date: 2022-08-01

O.A. Ladyzhenskaya centennial conference on PDE’s, St. Petersburg, July 16 – July 22, 2022
Roberta Musina (Universit`a di Udine) 
Higher order Hardy-type inequalities and higher order fractional Laplacians

We discuss some Hardy and trace-Hardy type inequalities involving weighted
polyharmonic operators, and their relations with higher order fractional Laplacians. This is a joint work with Gabriele Cora, Universit`a di Torino.
References
[1] The s-polyharmonic extension problem and higher-order fractional Laplacians, J. Functional Analysis, (2021), to appear. Preprint  ArXiv:2106.11669