Data di Pubblicazione:
2018
Citazione:
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev
spaces / Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:11(2018), pp. 8285-8310.
Abstract:
We prove scaling invariant Gagliardo-Nirenberg type inequalities of the form
$$|arphi|_L^p(mathbbR^d)le C|arphi|_dot
H^s(mathbbR^d)^eta left(iint_mathbbR^d imes mathbbR^d
rac|arphi (x)|^q,|arphi (y)|^q|x - y|^d-alpha dx
dy ight)^gamma,$$ involving fractional Sobolev norms with $s>0$ and Coulomb
type energies with $01$.
$$|arphi|_L^p(mathbbR^d)le C|arphi|_dot
H^s(mathbbR^d)^eta left(iint_mathbbR^d imes mathbbR^d
rac|arphi (x)|^q,|arphi (y)|^q|x - y|^d-alpha dx
dy ight)^gamma,$$ involving fractional Sobolev norms with $s>0$ and Coulomb
type energies with $01$.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Mathematics - Functional Analysis; Mathematics - Functional Analysis; Mathematical Physics; Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; 46E35, 39B62, 35Q55
Elenco autori:
Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean
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