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
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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