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math.FA2022★ 5 cited
Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator
Andrea Cianchi, Vít Musil, Luboš Pick
A comprehensive analysis of Sobolev-type inequalities for the Ornstein-Uhlenbeck operator in the Gauss space is offered. A unified approach is proposed, providing one with criteria…
math.FA2022
Boundedness of functions in fractional Orlicz-Sobolev spaces
Angela Alberico, Andrea Cianchi, Luboš Pick +1
A necessary and sufficient condition for fractional Orlicz-Sobolev spaces to be continuously embedded into is exhibited. Under the same assumption, any func…