The Hörmander multiplier theorem, III: the complete bilinear case via interpolation
نویسندگان
چکیده
منابع مشابه
The Bilinear Multiplier Problem for the Disc
We present the main ideas of the proof of the following result: The characteristic function of the unit disc in R is the symbol of a bounded bilinear multiplier operator from L1(R) × L2(R) into L(R) when 2 ≤ p1, p2 < ∞ and 1 < p = p1p2 p1+p2 ≤ 2.
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A classical theorem of C. Fefferman [3] says that the characteristic function of the unit disc is not a Fourier multiplier on L(R) unless p = 2. In this article we obtain a result that brings a contrast with the previous theorem. We show that the characteristic function of the unit disc in R is the Fourier multiplier of a bounded bilinear operator from L1(R) × L2(R) into L(R), when 2 ≤ p1, p2 <...
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ژورنال
عنوان ژورنال: Monatshefte für Mathematik
سال: 2019
ISSN: 0026-9255,1436-5081
DOI: 10.1007/s00605-019-01300-x