n the failure of the Hörmander multiplier theorem in a limiting case

Autores: Lenka Slavíková
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 36, Nº 4, 2020, págs. 1013-1020
Idioma: inglés
DOI: 10.4171/rmi/1157
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Resumen
- We discuss the Hörmander multiplier theorem for Lp boundedness of Fourier multipliers in which the multiplier belongs to a fractional Sobolev space with smoothness s. We show that this theorem does not hold in the limiting case |1/p−1/2|=s/n.