7 citations · 7 across the 3 of their papers we have counts for
4 papers
Adams inequalities for Riesz subcritical potentials
Luigi Fontana, Carlo Morpurgo
We derive Adams inequalities for potentials on general measure spaces, extending and improving previous results obtained by the authors. The integral operators involved, which we c…
Sharp Adams and Moser-Trudinger inequalities on R^n and other spaces of infinite measure
Luigi Fontana, Carlo Morpurgo
We derive sharp Adams inequalities for the Riesz and other potentials of functions with arbitrary compact support in R^n. Up to now such results were only known for a class of func…
Self-intersections of the Riemann zeta function on the critical line
William Banks, Victor Castillo-Garate, Luigi Fontana +1
We show that the Riemann zeta function ζ has only countably many self-intersections on the critical line, i.e., for all but countably many z in C the equation ζ(1/2+it)=z has at mo…
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…