Split functions, Fourier transforms and multipliers

We study the L p norm of the Fourier transform of S t f , where S t is a splitting operator. If m is a Fourier multiplier, we also study the operator norm of S t m . Most of our results assume p is an even integer. They are often stronger when f or m has compact support.

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Veröffentlicht in:Collectanea mathematica (Barcelona) 2015-05, Vol.66 (2), p.297-309
Hauptverfasser: De Carli, Laura, Hudson, Steve
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the L p norm of the Fourier transform of S t f , where S t is a splitting operator. If m is a Fourier multiplier, we also study the operator norm of S t m . Most of our results assume p is an even integer. They are often stronger when f or m has compact support.
ISSN:0010-0757
2038-4815
DOI:10.1007/s13348-014-0114-y