Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Peng Chen; Adam Sikora

doi:10.1007/s00041-013-9288-z

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

Peng Chen, Adam Sikora^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.

Original language	English
Pages (from-to)	1274-1293
Number of pages	20
Journal	Journal of Fourier Analysis and Applications
Volume	19
Issue number	6
DOIs	https://doi.org/10.1007/s00041-013-9288-z
Publication status	Published - Dec 2013

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title = "Sharp Spectral Multipliers for a New Class of Grushin Type Operators",

abstract = "We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-M{\"u}ller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.",

author = "Peng Chen and Adam Sikora",

year = "2013",

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doi = "10.1007/s00041-013-9288-z",

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AU - Sikora, Adam

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AB - We describe weighted restriction (Plancherel) type estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal exponent for Bochner-Riesz summability in this setting.

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M3 - Article

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ER -

Sharp Spectral Multipliers for a New Class of Grushin Type Operators

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