Split functions, Fourier transforms and multipliers

• Autores: Laura De Carli, Steve Hudson
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 66, Fasc. 2, 2015, págs. 297-309
• Idioma: inglés
• DOI: 10.1007/s13348-014-0114-y
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• Resumen

  • 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.