Publications

Accepted & Published papers

T. Hytönen, K. Li, H. Martikainen, E. Vuorinen, Multiresolution analysis and Zygmund dilations, Amer. J. Math., to appear.
E. Airta, K. Li, H. Martikainen, Two-weight inequalities for multilinear commutators in product spaces, Potential Anal. 59 (2023), no. 4, 1745–1792.
K. Li, S. Ombrosi, I.P. Rivera-Rios, Upper endpoint estimates and extrapolation for commutators, Rev. Un. Mat. Argentina, 66 (2023), no. 1, pp. 213–228.
T. Hytönen, K. Li, J. Tao, D. Yang, The Lp-to-Lq compactness of commutators with p>q. Studia Math. 271 (2023), no. 1, 85–105.
T. Hytönen, K. Li, H. Martikainen, E. Vuorinen, Exotic Calderón-Zygmund operators. J. Geom. Anal. 33 (2023), no. 5, Paper No. 157, 30 pp.
E. Airta, T. Hytönen, K. Li, H. Martikainen, T. Oikari, Off-diagonal estimates for bi-commutators, Int. Math. Res. Not. IMRN 2022, no. 23, 18766–18832. (arxiv)
K. Li, Multilinear commutators in the two-weight setting, Bull. Lond. Math. Soc. 54 (2022), no. 2, 568–589. (arxiv)
F. Di Plinio, K. Li, H. Martikainen and E. Vuorinen, Banach-valued multilinear singular integrals with modulation invariance, International Mathematics Research Notices, 2022, no. 7, 5256–5319. (arxiv)
E. Airta, K. Li, H. Martikainen, E. Vuorinen, Some new weighted estimates on product spaces, Indiana University Mathematics Journal, 71 (2022), no. 1, 37–63. (arxiv)
K. Li, H. Martikainen, E. Vuorinen, Genuinely multilinear weighted estimates for singular integrals in product spaces. Adv. Math. 393 (2021), Paper No. 108099, 49 pp.
J. Canto, K. Li, L. Roncal, O. Tapiola, Cp estimates for rough homogeneous singular integrals and sparse forms, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 22 (2021), no. 3, 1131–1168.
T. Hytönen, K. Li, and E. Sawyer, Restricted testing for positive operators, J. Geom. Anal. 31 (2021), no. 11, 11139–11164. (arxiv)
K. Li, H. Martikainen and E. Vuorinen, Bloom type inequality for bi-parameter singular integrals: efficient proof and iterated commutators, International Mathematics Research Notices, 2021, no. 11, 8153–8187. (arxiv)
K. Li, J.M. Martell, H. Martikainen, S. Ombrosi, E. Vuorinen, End-point estimates, extrapolation for multilinear Muckenhoupt classes, and applications, Transactions of the American Mathematical Society, 374 (2021), no. 1, 97–135. (arxiv)
F. Di Plinio, T. Hytönen and K. Li, Sparse bounds for maximal rough homogeneous integrals via the Fourier transform, Annales de l'institut Fourier, 70 (2020), no. 5, 1871–1902. (arxiv)
F. Di Plinio, K. Li, H. Martikainen and E. Vuorinen, Multilinear singular integrals on non-commutative Lp spaces, Mathematische Annalen, 378 (2020), no. 3-4, 1371–1414. (arxiv)
T. Hytönen, K. Li, T. Oikari, Iterated commutators under a joint condition on the tuple of multiplying functions, Proceedings of the American Mathematical Society, 148 (2020), no.11, 4797-4815. (arxiv)
K. Li, J.M. Martell and S. Ombrosi, Extrapolation for multilinear Muckenhoupt classes and applications, Advances in Mathematics, 373 (2020), 107286.(arxiv)
M. Cejas, K. Li, C. Perez, I. Rivera-Rios, Vector-valued operators, optimal weighted estimates and the Cp condition, Science China Mathematics, 63 (2020), no. 7, 1339–1368. (arxiv)
F. Di Plinio, K. Li, H. Martikainen and E. Vuorinen, Multilinear operator-valued Calderón-Zygmund theory, Journal of Functional Analysis, 279(2020) 108666.(arxiv)
K. Li, H. Martikainen and E. Vuorinen, Bloom type upper bounds in the product BMO setting, The Journal of Geometric Analysis, 30(2020), 3181-3203. (arxiv)
K. Li, H. Martikainen and E. Vuorinen, Bilinear Calderon-Zygmund theory on product spaces, Journal de Mathématiques Pures et Appliquées, 138(2020), 356-412. (arxiv)
R. Jiang, K. Li and J. Xiao, Flow with $A_\infty(\mathbb R)$ density and transport equation in $BMO(\mathbb R)$, Forum of Mathematics, Sigma, volume 7 (2019), E43. (arxiv)
K. Li, S. Ombrosi, C. Perez, Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates, Mathematische Annalen, 374(2019), 907-929. (arxiv)
K. Li, C. Perez, I. Rivera-Rios, L. Roncal, Weighted norm inequalities for rough singular integral operators, The Journal of Geometric Analysis, 29(2019), 2526-2564. (arxiv)
K. Li, H. Martikainen, Y. Ou, E. Vuorinen, Bilinear representation theorem, Transactions of the American Mathematical Society, 371(2019), 4193-4214. (arxiv)
K. Li, S. Ombrosi, B. Picardi, Weighted mixed weak-type inequalities for multilinear operators, Studia Mathematica, 244(2019), 203-215. (arxiv)
W. Damian, M. Hormozi, K. Li, New bounds for bilinear Calderón-Zygmund operators and applications, Revista Matemática Iberoamericana. 34(2018), 1177-1210 (arxiv)
G. Hu, K. Li, Weighted vector-valued inequalities for a class of multilinear singular integral operators, Proceedings of the Edinburgh Mathematical Society, 61(2018), 413-436.
K. Li, Sparse domination theorem for multilinear singular integral operators with Lr-Hörmander condition, Michigan Mathematical Journal, 67(2018), 253-265. (arxiv)
M. Cao, K. Li, Q. Xue, A characterization of two weight norm inequality for Littlewood-Paley g_λ^*-function, The Journal of Geometric Analysis, 28(2018), 842-865.(arxiv)
T. Hytönen, K. Li, Weak and strong Ap-A∞ estimates for square functions and related operators, Proceedings of the American Mathematical Society, 146(2018), 2497-2507(arxiv)
K. Li, Sharp weighted estimates involving one supremum, C. R. Acad. Sci. Paris, Ser. I , 355(2017), 906-909. (arxiv)
K. Li, Two weight inequalities for bilinear forms, Collectanea Mathematica, 68(2017), 129-144. (arxiv)
M. Lacey, K. Li, On Ap-A∞ type estimates for square functions, Mathematische Zeitschrift, 284(2016), 1211–1222, (arxiv)
T. Hänninen, T. Hytönen, K. Li, Two-weight Lp-Lq bounds for positive dyadic operators: unified approach to p ≤ q and p > q, Potential Analysis, 45(2016), 579–608.
K. Li, W. Sun, Two weight norm inequalities for the bilinear fractional integrals, Manuscripta Mathematica, 150(2016), 159–175.
K. Li, W. Sun, Characterization of a two weight inequality for multilinear fractional maximal operators, Houston Journal of Mathematics, 42(2016), 977–990.
K. Li, W. Sun, Weighted estimates for multilinear Fourier multipliers, Forum Mathematicum, 27(2015), no. 2, 1101–1116.
K. Li, K. Moen, W. Sun, Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals, Mathematische Nachrichten, 288(2015), 619–632.
K. Li, A new Ap-A∞ estimate for Calderón-Zygmund operators in spaces of homogeneous type, Journal of Mathematical Analysis and Applications, 428(2015), 1183–1192.
M. Lacey, K. Li, Two weight norm inequalities for the g function, Mathematical Research Letters, 21(2014), no. 3, 521–536.
K. Li, K. Moen, W. Sun, The sharp weighted bound for multilinear maximal functions and Calderón-Zygmund operators, Journal of Fourier Analysis and Applications, 20(2014), no. 4,751–765.
K. Li, W. Sun, Weighted estimates for multilinear pseudodifferential operators, Acta Mathematica Sinica, English Series, 30(2014), no. 8, 1281–1288.
K. Li, W. Sun, Calderón-Zygmund operators with non-diagonal singularity, Mathematische Nachrichten, 287(2014), no.2-3, 313–323.
K. Li, W. Sun, Weak and strong type weighted estimates for multilinear Calderón-Zygmund operators, Advances in Mathematics, 254(2014), 736–771.
K. Li, W. Sun, Characterization of function spaces using wavelets, Numerical Functional Analysis and Optimization, 34(2013),no.10, 1115–1128.
K. Li, W. Sun, Convergence of sequences of Calderón-Zygmund operators with application to wavelet expansions, Mathematische Nachrichten, 286(2013), 236–247.
K. Li, W. Sun, Pointwise convergence of the Calderón reproducing formula, Journal of Fourier Analysis and Applications, 18(2012), no.3, 439–455.
K. Li, W. Sun, Convergence of wavelet frame operators as the sampling density tends to infinity, Applied and Computational Harmonic Analysis, 33(2012), no.1, 140–147.

Preprints

A. Lerner, K. Li, S. Ombrosi, I. P. Rivera-Rios, On the sharpness of some matrix weighted endpoint estimates
E. Airta, K. Li, H. Martikainen, Zygmund dilations: bilinear analysis and commutator estimates