Data di Pubblicazione:
2012
Citazione:
Adams' inequality and limiting Sobolev embeddings into Zygmund spaces / C. Tarsi. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 37:4(2012), pp. 353-385.
Abstract:
We exhibit sharp embedding constants for Sobolev spaces of any order into
Zygmund spaces, obtained as the product of sharp embedding constants for second
order Sobolev space into Lorentz spaces. As a consequence, we derive a new proof
of Adams’ inequality, which holds in the larger hypotheses of homogenoeous Navier
boundary contidions.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Adams' inequality; Best constants; Limiting Sobolev embeddings; Lorentz spaces; Trudinger-Moser inequalities; Zygmund spaces
Elenco autori:
C. Tarsi
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