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- W4289378108 abstract "We consider a class of spectral multipliers on stratified Lie groups which generalise the class of Hormander multipliers and include multipliers with an oscillatory factor. Oscillating multipliers have been examined extensively in the euclidean setting where sharp, endpoint $L^p$ estimates are well known. In the Lie group setting, corresponding $L^p$ bounds for oscillating spectral multipliers have been established by several authors but only in the open range of exponents. In this paper we establish the endpoint $L^p(G)$ bound when $G$ is a stratified Lie group. More importantly we begin to address whether these estimates are sharp." @default.
- W4289378108 created "2022-08-02" @default.
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- W4289378108 date "2018-10-17" @default.
- W4289378108 modified "2023-09-23" @default.
- W4289378108 title "Strongly singular integrals on stratified groups" @default.
- W4289378108 doi "https://doi.org/10.48550/arxiv.1810.07540" @default.
- W4289378108 hasPublicationYear "2018" @default.
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