On the failure of the Hörmander multiplier theorem in a limiting case
Lenka Slavíková
University of Missouri, Columbia, USA and Charles University, Prague, Czechia
![On the failure of the Hörmander multiplier theorem in a limiting case cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-36-issue-4.png&w=3840&q=90)
Abstract
We discuss the Hörmander multiplier theorem for boundedness of Fourier multipliers in which the multiplier belongs to a fractional Sobolev space with smoothness . We show that this theorem does not hold in the limiting case .
Cite this article
Lenka Slavíková, On the failure of the Hörmander multiplier theorem in a limiting case. Rev. Mat. Iberoam. 36 (2020), no. 4, pp. 1013–1020
DOI 10.4171/RMI/1157