From refined estimates for spherical harmonics to a sharp multiplier theorem on the Grushin sphere
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DOI: 10.1016/j.aim.2019.05.003
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… read more here.
Keywords: grushin; spherical harmonics; sharp multiplier; harmonics ... See more keywords
The Hörmander multiplier theorem, I: The linear case revisited
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DOI: 10.1215/ijm/1520046207
Abstract: We discuss L(R) boundedness for Fourier multiplier operators that satisfy the hypotheses of the Hörmander multiplier theorem in terms of an optimal condition that relates the distance | 1 p − 1 2 | to… read more here.
Keywords: linear case; rmander multiplier; multiplier theorem; theorem linear ... See more keywords