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Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on R^n by Fontana, Luigi; Morpurgo, Carlo is a scholarly article available to read on EtoBox.

What is Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on R^n about?

We derive sharp Adams inequalities for the Riesz and more general Riesz-like potentials on the whole of R^n. As a consequence, we obtain sharp Moser-Trudinger inequalities for the critical Sobolev spaces W^{a,n/a}(R^n), 0<a<n. These inequalities involve fractional Laplacians, higher order gradients, general homogeneous elliptic operators with constant coefficients, and general trace type Borel measures.

Author

Fontana, Luigi; Morpurgo, Carlo

Published

2017

Language

EN