Preprints and papers

Jingwei Guo, Tao Jiang, Zuoqin Wang, Weyl's law for balls and spherical shells, in preparation.

Jingwei Guo, Xiangrong Zhu, L^p boundedness of pseudo-differential operators with symbols in S_{¦Ñ,1}^{n(¦Ñ-1)/2}, arXiv preprint, arXiv:2309.10380.

Xuezhi Chen,Jingwei Guo, A polynomial Roth theorem for corners in R^2 and a related bilinear singular integral operator, Math. Ann., DOI :10.1007/s00208-023-02763-y

Jingwei Guo, Tao Jiang, Lattice points in stretched finite type domains, J. Number Theory, 242(2023), 1¡ª20.

Jiawei Dai, Jingwei Guo, Xiangrong Zhu, L^p boundedness of Fourier integral operators with rough symbols, J. Math. Anal. Appl. 517 (2023), no. 2, 126654.

Jingwei Guo, Xiangrong Zhu, Some notes on endpoint estimates for pseudo-differential operators, Mediterr. J. Math. 19 (2022),no.6,Article No. 260.

Xuezhi Chen, Jingwei Guo, Xiaochun Li, Two bipolynomial Roth theorems in R, J. Funct. Anal., 281 (2021), no. 2, Paper No. 109024, 35 pp.

Jingwei Guo, A note on the Weyl formula for balls in R^d, Proc. Amer. Math. Soc. 149 (2021), 1663-1675.

Jingwei Guo, Wolfgang Muller, Weiwei Wang, Zuoqin Wang, The Weyl formula for planar annuli, J. Funct. Anal.,281 (2021), no. 4, Paper No. 109063, 38 pp.

Jingwei Guo, Weiwei Wang, Zuoqin Wang, An improved remainder estimate in the Weyl formula for the planar disk, J. Fourier Anal. Appl., 25 (2019),1553-1579.

Jingwei Guo, Tao Jiang, A note on lattice points and optimal stretching, Colloq. Math., 157 (2019), no. 1, 65-82.

Jingwei Guo, Weiwei Wang, Lattice points in stretched model domains of finite type in R^d, J. Number Theory, 191 (2018), 273-288.

Jingwei Guo, A note on lattice points in model domains of finite type in R^d, Arch. Math., 108 (2017), 45-53.

Jingwei Guo, Lechao Xiao, Bilinear Hilbert transforms associated with plane curves, J. Geom. Anal., 26(2), (2016), 967-995.

Jingwei Guo, Lattice points in rotated convex domains, Rev. Mat. Iberoam., 31 (2015), 411-438.

Jingwei Guo, Lattice points in large convex planar domains of finite type, Illinois J. Math., 56 (2012), 731-757.

Jingwei Guo, On lattice points in large convex bodies, Acta Arith., 151 (2012), 83-108.

Notes

Jingwei Guo, Tao Jiang, The number of zeros of cross-product Bessel functions. 2021. PDF