Carlo Morpurgo

activity

20072026

most citedMoser-Trudinger and Beckner-Onofri's inequalities on the CR sphere

10 citations · 18 across the 12 of their papers we have counts for

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2 papers · 1 filter

math.FA2012

Optimal limiting embeddings for $Δ$ -reduced Sobolev spaces in $L^{1}$

Luigi Fontana, Carlo Morpurgo

We prove sharp embedding inequalities for certain reduced Sobolev spaces that arise naturally in the context of Dirichlet problems with $L^{1}$ data. We also find the optimal target…

math.FA2011

Sharp Moser-Trudinger inequalities for the Laplacian without boundary conditions

Luigi Fontana, Carlo Morpurgo

We derive a sharp Moser-Trudinger inequality for the borderline Sobolev imbedding of W^{2,n/2}(B_n) into the exponential class, where B_n is the unit ball of R^n. The corresponding…

Optimal limiting embeddings for Δ-reduced Sobolev spaces in L1

Sharp Moser-Trudinger inequalities for the Laplacian without boundary conditions

Optimal limiting embeddings for $Δ$ -reduced Sobolev spaces in $L^{1}$