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Seminar on theory of function spaces

Optimal embeddings for fractional-order Orlicz-Sobolev spaces

Andrea Cianchi
Università di Firenze

 

Thursday, 7. January 2021 - 15:00 to 17:00

On-line seminar; for the access data write to Luboš Pick pick@karlin.mff.cuni.cz.

The optimal Orlicz target space is exhibited for embeddings of fractional-order Orlicz-Sobolev spaces in the Euclidean space. An improved embedding with an Orlicz-Lorentz target space, which is optimal in the broader class of all rearrangement-invariant spaces, is also established. Both spaces of order less than one, and higher-order spaces are considered. Related Hardy-type inequalities are proposed as well. This is a joint work with A. Alberico, L. Pick and L. Slavíková.