Papers

[1] Restricted weak type endpoint estimate for the spherical maximal operators on the Heisenberg group, Math Annalen. 395 (2026), no 43, 1-51 (with  Jeon. Hyunwoo) 

[2] Spherical Averages on Nilpotent Group, Studia Math 282 (2025), 25-67

[3] Maximal operators along flat curves with one variable vector field, Proc. Edinburgh. Math. 67 (2024), no 4, 1212-1228 (With Jeongtae Oh)  

[4] Maximal functions associated to a family of flat curves in lacunary directions, Math. Z. 306 (2024), no. 3, Paper No. 38, 14 pp, (With Jeongtae Oh)

[5] Sublevel-set estimates over global domains, J. Geom. Anal. 33 (2023), no. 12, Paper No. 379, 50 pp.

[6] Averages over annuli or tubes on the moving planes, RIMS Kôkyûroku Bessatsu, B88[Series of Lecture Notes from RIMS]

[7] Multiple-Hilbert transforms associated with polynomials, Memoir. Amer. Math. Soc. 237 (2015), no. 1119, v+120 pp.

[8] Nikodym maximal functions associated with variable planes in R^3, Integral Equations Operator Theory 73 (2012), 455-480.

[9] Riesz means associated with certain product type convex domain. J. Math. Anal. Appl. 380 (2011), 585-606. (with Hong. Sunggeum, Yang. Chan Woo)

[10] Triple Hilbert transforms along polynomial surfaces. Integral Equations Operator Theory 65 (2009), 485-528. (with Cho. Yong-Kum, Hong. Sunggeum, Yang. Chan Woo)

[11] Maximal operators associated with vector polynomials of lacunary coefficients. Canad. J. Math. 61 (2009), 807-827. (with Hong. Sunggeum, Yang. Chan Woo)

[12] Two versions of the Nikodym maximal function on the Heisenberg group. J. Funct. Anal. 257 (2009), 1493-1518.

[13] On mass concentration for the L^2 critical nonlinear Schrodinger equations. Comm. Partial Differential Equations 34 (2009), 486-505. (with Chae. M, Hong. S, Lee. S, Yang. C.W)

[14] Estimates for cone multipliers associated with homogeneous functions. Rocky Mountain J. Math. 39 (2009), 117-132. (with Hong. Sunggeum, Yang. Chan Woo)

[15] Multiparameter singular integrals and maximal operators along flat surfaces. Rev. Mat. Iberoam. 24 (2008), 1047-1073. (with Cho. Yong-kum, Hong. Sunggeum, Yang. Chan Woo)

[16] Maximal average along variable lines. Israel J. Math. 167 (2008), 1-13.

[17] Scattering theory below energy for a class of Hartree type equations. Comm. Partial Differential Equations 33 (2008), 321-348. (with Chae. M, Hong. S, Yang. C.W)

[18] Cylinder multipliers associated with a convex polygon. Integral Equations Operator Theory 60 (2008), no. 1, 53-78. (with Hong. Sunggeum, Yang. Chan Woo)

[19] Marcinkiewicz multiplier theorem for the Weyl functional calculus. Math. Z. 258 (2008), no. 2, 271-290.

[20] Weak type estimates for cone type multipliers associated with a convex polygon. Indiana Univ. Math. J. 56 (2007), 1827-1869. (with Hong. Sunggeum, Yang. Chan Woo)

[21] Sharp L^2 bound of maximal Hilbert transforms over arbitrary sets of directions. J. Math. Anal. Appl. 335 (2007), 56-63.

[22] Riesz means associated with convex polygons in R^2 J. Math. Anal. Appl. 331 (2007), 377-395. (with Hong. Sunggeum, Yang. Chan Woo)

[23] Atomic decomposition on Hardy-Sobolev spaces. Studia Math. 177 (2006), 25-42. (with Cho, Yong-Kum)

[24] Singular Radon transforms along odd curves on the Heisenberg group. J. Geom. Anal. 15 (2005), 669-684.

[25] Fractional integral along homogeneous curves in the Heisenberg group. J. Korean Math. Soc. 42 (2005), 499-516.

[26] Lacunary directional maximal function on the Heisenberg group. Math. Res. Lett. 11 (2004), 599-613.

[27] L^P estimates for singular integrals and maximal operators associated with flat curves on the Heisenberg group. Duke Math. J. 114 (2002), 555-593.

[28] Hilbert transforms along curves in the Heisenberg group. Proc. London Math. Soc. (3) 80 (2000), 611-642.