Schikorra, Armin
[Albert-Ludwigs-Universität Freiburg]
Spector, Daniel
[National Chiao Tung University]
Van Schaftingen, Jean
[UCL]
In this paper we establish new L1-type estimates for the classical Riesz potentials of order α∈(0,N): ∥Iαu∥LN/(N−α)(RN)≤C∥Ru∥L1(RN;RN). This sharpens the result of Stein and Weiss on the mapping properties of Riesz potentials on the real Hardy space H¹(RN) and provides a new family of L¹-Sobolev inequalities for the Riesz fractional gradient.
Bibliographic reference |
Schikorra, Armin ; Spector, Daniel ; Van Schaftingen, Jean. An L¹-type estimate for Riesz potentials. In: Revista Matematica Iberoamericana, Vol. 33, no.1, p. 291-303 (2017) |
Permanent URL |
http://hdl.handle.net/2078.1/183697 |