Rozhdestvenskii, A. V. On necessary conditions for Fourier multipliers of weak type. (English. Russian original) Zbl 1284.42028 Izv. Math. 71, No. 1, 75-95 (2007); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 1, 79-100 (2007). Summary: We obtain necessary conditions for a bounded function \( \varphi\) to be a Fourier multiplier of weak type \((\psi(L)(G),\psi(L)(G))\), where \( G=\mathbb R^d\) or \( G=\mathbb T^d\), provided that the Young function \( \psi(t)\) grows slower than \( t\ln^{1/2}t\) as \( t\) tends to infinity. MSC: 42B15 Multipliers for harmonic analysis in several variables PDFBibTeX XMLCite \textit{A. V. Rozhdestvenskii}, Izv. Math. 71, No. 1, 75--95 (2007; Zbl 1284.42028); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 71, No. 1, 79--100 (2007) Full Text: DOI