Papers

Publications and Preprints

1. with J. Seo, "Maximal operators given by Fourier multipliers with dilation of fractional dimensions",  arXiv:2405.16855, submitted.[Link] 

2. with C. Cho and K. Shuin, "Improved curvature conditions on L^2x...xL^2 ->L^{2/m} bounds for multilinear maximal averages", arXiv:2401.03702, submitted.[Link] 

3. with J.-H. Choi, J. Seo, and K. Woo, "On the trace theorem for Volterra-type equations with local or non-local derivatives", arXiv:2309.00370, submitted.[Link] 

4. with J.-H. Choi, J. Seo, and K. Woo, "Characterizations for weighted Besov and Triebel-Lizorkin spaces with variable smoothness", arXiv:2309.01359, submitted.[Link] 

5. with C. Cho and K. Shuin, "Lp improving properties and maximal estimates for certain multilinear averaging operators", Revista Matemática Iberoamericana, online first.[Link] 

6. with J.-H. Choi and I. Kim, "A regularity theory for an initial value problem with a time-measurable pseudo-differential operator in a weighted Lp-space", arXiv:2302.07507v2,  submitted.[Link]

7. with J. Seo, "Maximal operators associated with Fourier multipliers and applications", Journal of Functional Analysis, 284(8):109857, 2023.[Link] 

8. with B. Park, "On the boundedness of multilinear Fourier multipliers on Hardy spaces", Journal d'Analyse Mathématique, 150:275-301, 2023. [Link]

9. with B. Park, "Trilinear Fourier multipliers on Hardy spaces", Journal of the Institute of Mathematics of Jussieu, 1-62, 2024. [Link] 

10. with J. Lee, Y. Heo, and S. Hong et al, "The Hörmander multiplier theorem for N-linear operators", Mathematische Annalen, 381:499-555, 2021. [Link] 

11. with J Lee, and C. W. Yang, "Averaging Operators Along a Certain Type of Surfaces with Hypersingularity", Taiwanese Journal of Mathematics, 24(2):317-329, 2020. [Link] 

12. "Strichartz estimates for space-time fractional Schrödinger equations", Journal of Mahtematical Analysis and Applications, 487(2):123999, 2020. [Link]