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- W2314911064 abstract "Soit E⊂R un ensemble fermé de mesure nulle. On démontre une équivalence entre la décomposition de Littlewood-Paley dans L p par rapport aux intervalles complémentaires de E et les multiplicateurs de Fourier du type de Hörmander-Mihlin et de Marcinkiewicz ayant des singularités sur E. Des propriétés analogues sont étudiées dans R 2 pour une réunion de rayons partant de l’origine. Dans ce cas, on considère aussi la fonction maximale par rapport aux rectangles parallèles à ces rayons. On montre notamment que l’opérateur défini par cette fonction maximale est borné dans L p , 1<p<∞, quand les rayons forment une suite lacunaire itérée." @default.
- W2314911064 created "2016-06-24" @default.
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- W2314911064 date "1981-01-01" @default.
- W2314911064 modified "2023-10-03" @default.
- W2314911064 title "Littlewood-Paley decompositions and Fourier multipliers with singularities on certain sets" @default.
- W2314911064 doi "https://doi.org/10.5802/aif.821" @default.
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