The unit sphere of the Banach space Mpof Fourier multipliers, 1<p<∞, is shown to contain a flat portion, i.e. a portion of a plane having codimension one. The proof is based on an elementary inequality, a generalization of the classical Bernoulli inequality.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Bernoulli inequality
- Fourier multiplier
- Unit sphere