Unboundedness of the Ball Bilinear Multiplier Operator
- 1 January 2007
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 185, 151-159
Abstract
For all n > 1, the characteristic function of the unit ball in ℝ2n is not the symbol of a bounded bilinear multiplier operator from Lp(ℝn) × Lq(ℝn) to Lr(ℝn) when 1/p + 1/q = 1/r and exactly one of p, q, or r′ = r/(r – 1) is less than 2.Keywords
This publication has 7 references indexed in Scilit:
- The disc as a bilinear multiplierAmerican Journal of Mathematics, 2006
- Extrapolation of Weighted norm inequalities for multivariable operators and applicationsThe Journal of Geometric Analysis, 2004
- Multilinear Calderón–Zygmund TheoryAdvances in Mathematics, 2002
- On Calderon's ConjectureAnnals of Mathematics, 1999
- L p Estimates on the Bilinear Hilbert Transform for 2 < p < ∞Annals of Mathematics, 1997
- The Multiplier Problem for the BallAnnals of Mathematics, 1971
- On L p MultipliersAnnals of Mathematics, 1965