18 citations · 47 across the 11 of their papers we have counts for
4 papers · 1 filter
Remarks on Sobolev-Morrey-Campanato spaces defined on domains
Pier Domenico Lamberti, Vincenzo Vespri
We discuss a few old results concerning embedding theorems for Campanato and Sobolev-Morrey spaces adapting the formulations to the case of domains of class , and we prese…
On Trace Theorems for Sobolev Spaces
Pier Domenico Lamberti, Luigi Provenzano
We survey a few trace theorems for Sobolev spaces on -dimensional Euclidean domains. We include known results on linear subspaces, in particular hyperspaces, and smooth boundari…
On Stein's extension operator preserving Sobolev-Morrey spaces
Pier Domenico Lamberti, Ivan Yuri Violo
We prove that Stein's Extension Operator preserves Sobolev-Morrey spaces, that is spaces of functions with weak derivatives in Morrey spaces. The analysis concerns classical and ge…
On Burenkov's extension operator preserving Sobolev-Morrey spaces on Lipschitz domains
Maria Stella Fanciullo, Pier Domenico Lamberti
We prove that Burenkov's Extension Operator preserves Sobolev spaces built on general Morrey spaces, including classical Morrey spaces. The analysis concerns bounded and unbounded…