A planar face on the unit sphere of the multiplier space Mp, 1<p<∞

Charles Fefferman; Harold S. Shapiro

doi:10.1090/S0002-9939-1972-0308669-X

A planar face on the unit sphere of the multiplier space M_p, 1<p<∞

Charles Fefferman, Harold S. Shapiro

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The unit sphere of the Banach space M_pof 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.

Original language	English (US)
Pages (from-to)	435-439
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	36
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1972-0308669-X
State	Published - Dec 1972
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

Bernoulli inequality
Fourier multiplier
Unit sphere

Access to Document

10.1090/S0002-9939-1972-0308669-X

Cite this

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title = "A planar face on the unit sphere of the multiplier space Mp, 1<p<∞",

abstract = "The unit sphere of the Banach space Mpof Fourier multipliers, 1",

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year = "1972",

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