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Abstract We prove a sharp multiplier theorem of Mihlin–Hormander type for the Grushin operator on the unit sphere in R 3 , and a corresponding boundedness result for the associated… Click to show full abstract
Abstract We prove a sharp multiplier theorem of Mihlin–Hormander type for the Grushin operator on the unit sphere in R 3 , and a corresponding boundedness result for the associated Bochner–Riesz means. The proof hinges on precise pointwise bounds for spherical harmonics.
Keywords:
grushin;
spherical harmonics;
sharp multiplier;
harmonics;
multiplier theorem
Journal Title: Advances in Mathematics
Year Published: 2019
Link to full text (if available)
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Journal Title: Advances in Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!