Papers

[1] Maximal operators along flat curves with one variable vector field, Proc. Edinburgh. Math. (With Jeongtae Oh) To appear.

[2] 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)

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

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

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

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

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

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

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

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

[11] 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)

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

[13] 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)

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

[15] 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)

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

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

[18] 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)

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

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

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

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

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

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

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

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