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On the quantitative impact of the Schechter-Valle theorem

✍ Scribed by Michael Duerr; Manfred Lindner; Alexander Merle


Book ID
105738704
Publisher
Springer-Verlag
Year
2011
Tongue
English
Weight
258 KB
Volume
2011
Category
Article
ISSN
1126-6708

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Let m be a measurable bounded function and let us assume that there exists a bounded functions S so that mΓ°xÞSΓ°xÞ itΓ€1 is a Fourier multiplier on L p uniformly in tAR: Then, using the analytic interpolation theorem of Stein, one can show that necessarily m is a L p multiplier. The purpose of this wo