Abstract
In this paper we characterize the boundedness of the bilinear form defined by(f,g)∈H˙s(R)×H˙s(R)→∫R(−Δ)s/2(fg)(x)(−Δ)s/2(b)(x)dx, in the product of homogeneous Sobolev spaces H˙s(R)×H˙s(R), 0<s<1/2. We deduce a characterization of the space of pointwise multipliers from H˙s(R) to its dual H˙−s(R) in terms of trace measures.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.