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Bounds on the Hermite spectral projection operator
Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu
We study - bounds on the spectral projection operator associated to the Hermite operator in . We are mainly concerned with a localized oper…
Fourier duality in the Brascamp-Lieb inequality
Jonathan Bennett, Eunhee Jeong
It was observed recently in work of Bez, Buschenhenke, Cowling, Flock and the first author, that the euclidean Brascamp-Lieb inequality satisfies a natural and useful Fourier duali…
Sharp - estimate for the spectral projection associated with the twisted Laplacian
Eunhee Jeong, Sanghyuk Lee, Jaehyeon Ryu
In this note we are concerned with estimates for the spectral projection operator associated with the twisted Laplacian . We completely characterize the optimal…
Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators
Eunhee Jeong, Sanghyuk Lee
We study the maximal estimates for the bilinear spherical average and the bilinear Bochner-Riesz operator. Firstly, we obtain estimates for the bilinear sph…
Improved bound for the bilinear Bochner-Riesz operator
Eunhee Jeong, Sanghyuk Lee, Ana Vargas
We study bounds for the bilinear Bochner-Riesz operator , in , which is defined by \[ {\mathcal B}^α(f,g)=\iint_{…