3 citations · 4 across the 5 of their papers we have counts for
3 papers · 1 filter
Generalized BMO-type seminorms and vector-valued Sobolev functions
Konstantinos Bessas, Serena Guarino Lo Bianco, Roberta Schiattarella
We establish a pointwise limit theorem for a broad class of pa\-ra\-me\-ter-\-de\-pen\-dent BMO-type seminorms as the parameter tends to zero. By introducing novel BMO-type seminor…
A note on non-local Sobolev spaces and non-local perimeters
Konstantinos Bessas, Giuseppe Cosma Brusca
We investigate the space of non-local Sobolev functions associated with an integral kernel. We prove an extension result, Sobolev and Poincaré inequalities and an isoperimetric ine…
Non-local functions and a denoising model with fidelity
Konstantinos Bessas, Giorgio Stefani
We study a general total variation denoising model with weighted fidelity, where the regularizing term is a non-local variation induced by a suitable (non-integrable) kernel…