Edit Profile (opens in new tab) Lacey, Michael T. Co-Author Distance Author ID: lacey.michael-t Published as: Lacey, Michael T.; Lacey, Michael; Lacey, M. T. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 126 Publications since 1989, including 2 Books Co-Authors: 65 Co-Authors with 90 Joint Publications 1,264 Co-Co-Authors all top 5 Co-Authors 36 single-authored 9 Bilyk, Dmitry 9 Wick, Brett Duane 7 Hytönen, Tuomas P. 7 Thiele, Christoph Martin 6 Krause, Ben 5 Han, Rui 5 Kesler, Robert M. 5 Petermichl, Stefanie 5 Pipher, Jill Catherine 5 Sawyer, Eric T. 5 Uriarte-Tuero, Ignacio 4 Parissis, Ioannis R. 4 Vagharshakyan, Armen 4 Yang, Fan 3 Do, Yen Q. 3 Hofmann, Steve 3 Li, Ji 3 Li, Xiaochun 3 Martikainen, Henri 3 McIntosh, Alan 3 Reguera, Maria Carmen 3 Terwilleger, Erin 3 Vähäkangas, Antti V. 3 Wierdl, Máté 2 Arias, Darío Mena 2 Auscher, Pascal 2 Chen, Wei 2 Demeter, Ciprian 2 Holmes, Irina 2 Karagulyan, Grigori 2 Li, Kangwei 2 Mena, Dario 2 Mousavi, Hamed 2 Pérez, Carlos 2 Rahimi, Yaghoub 2 Spencer, Scott 2 Tao, Terence 2 Tchamitchian, Philippe 1 Amirkhanyan, Gagik 1 Barrionuevo, Jose A. 1 Cabrelli, Carlos A. 1 Culiuc, Amalia 1 Domingo-Salazar, Carlos 1 Duong, Xuan Thinh 1 Fan, Zhijie 1 Ferguson, Sarah H. 1 Giannitsi, Christina 1 Houdré, Christian 1 Jones, Roger L. 1 Kovač, Vjekoslav 1 Lewis, John L. 1 Madrid, José A. Jiménez 1 Martirosyan, Vahan A. 1 McClain, William Martin 1 Metcalfe, Jason L. 1 Moen, Kabe 1 Molter, Ursula Maria 1 Orponen, Tuomas 1 Petersen, Karl E. 1 Philipp, Walter 1 Rey, Guillermo 1 Rudolph, Daniel J. 1 Shen, Chun-Yen 1 Torres, Rodolfo H. 1 Wu, Qingyan all top 5 Serials 5 Journal d’Analyse Mathématique 5 Annals of Mathematics. Second Series 4 Houston Journal of Mathematics 4 Bulletin of the London Mathematical Society 4 Duke Mathematical Journal 4 Proceedings of the American Mathematical Society 4 Revista Matemática Iberoamericana 4 Mathematical Research Letters 4 The Journal of Fourier Analysis and Applications 3 Analysis Mathematica 3 Journal of Mathematical Analysis and Applications 3 Studia Mathematica 3 The Annals of Probability 3 Indiana University Mathematics Journal 3 Journal of Functional Analysis 3 Mathematische Annalen 3 The New York Journal of Mathematics 2 Acta Mathematica 2 American Journal of Mathematics 2 Collectanea Mathematica 2 Hokkaido Mathematical Journal 2 Mathematische Zeitschrift 2 Mathematika 2 Transactions of the American Mathematical Society 2 Journal of Theoretical Probability 2 Publicacions Matemàtiques 2 Proceedings of the National Academy of Sciences of the United States of America 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Online Journal of Analytic Combinatorics 2 Analysis & PDE 2 Concrete Operators 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Illinois Journal of Mathematics 1 Memoirs of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista de la Unión Matemática Argentina 1 Ergodic Theory and Dynamical Systems 1 Statistics & Probability Letters 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Stochastic Processes and their Applications 1 Sbornik: Mathematics 1 Documenta Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 NYJM Monographs 1 Banach Journal of Mathematical Analysis 1 Tunisian Journal of Mathematics 1 Pure and Applied Analysis all top 5 Fields 94 Harmonic analysis on Euclidean spaces (42-XX) 20 Number theory (11-XX) 20 Probability theory and stochastic processes (60-XX) 19 Operator theory (47-XX) 17 Functional analysis (46-XX) 12 Integral transforms, operational calculus (44-XX) 7 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Partial differential equations (35-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 112 Publications have been cited 2,178 times in 1,191 Documents Cited by ▼ Year ▼ The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\). Zbl 1128.35316Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. 174 2002 \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\). Zbl 0914.46034Lacey, Michael; Thiele, Christoph 163 1997 On Calderón’s conjecture. Zbl 0934.42012Lacey, Michael; Thiele, Christoph 154 1999 A note on the almost sure central limit theorem. Zbl 0691.60016Lacey, Michael T.; Philipp, Walter 130 1990 An elementary proof of the \(A_{2}\) bound. Zbl 1368.42016Lacey, Michael T. 96 2017 A characterization of product BMO by commutators. Zbl 1039.47022Ferguson, Sarah H.; Lacey, Michael T. 74 2002 Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 60 2014 Sharp weighted bounds for fractional integral operators. Zbl 1196.42014Lacey, Michael T.; Moen, Kabe; Pérez, Carlos; Torres, Rodolfo H. 56 2010 A proof of boundedness of the Carleson operator. Zbl 0966.42009Lacey, Michael; Thiele, Christoph 53 2000 Sharp \(A_{2}\) inequality for Haar shift operators. Zbl 1210.42017Lacey, Michael T.; Petermichl, Stefanie; Reguera, Maria Carmen 49 2010 On the small ball inequality in all dimensions. Zbl 1214.42024Bilyk, Dmitriy; Lacey, Michael T.; Vagharshakyan, Armen 48 2008 Commutators in the two-weight setting. Zbl 1364.42017Holmes, Irina; Lacey, Michael T.; Wick, Brett D. 48 2017 A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 47 2012 The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\). Zbl 0967.47031Lacey, Michael T. 44 2000 The \(A_p-A_ {\infty}\) inequality for general Calderón-Zygmund operators. Zbl 1290.42037Hytönen, Tuomas P.; Lacey, Michael T. 44 2012 Sharp weighted bounds for the q-variation of singular integrals. Zbl 1271.42021Hytönen, Tuomas P.; Lacey, Michael T.; Pérez, Carlos 43 2013 Two-weight inequality for the Hilbert transform: a real variable characterization. II. Zbl 1312.42010Lacey, Michael T. 33 2014 The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds. Zbl 1128.35317Hofmann, Steve; Lacey, Michael; McIntosh, Alan 32 2002 Multiparameter Riesz commutators. Zbl 1170.42003Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 27 2009 Maximal theorems for the directional Hilbert transform on the plane. Zbl 1095.42010Lacey, Michael T.; Li, Xiaochun 27 2006 On the small ball inequality in three dimensions. Zbl 1202.42007Bilyk, Dmitriy; Lacey, Michael T. 26 2008 Sparse bounds for spherical maximal functions. Zbl 1433.42016Lacey, Michael T. 25 2019 On a conjecture of E. M. Stein on the Hilbert transform on vector fields. Zbl 1190.42005Lacey, Michael; Li, Xiaochun 25 2010 Bloom’s inequality: commutators in a two-weight setting. Zbl 1342.42005Holmes, Irina; Lacey, Michael T.; Wick, Brett D. 25 2016 Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces. Zbl 1278.42025Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 24 2012 Hankel operators in several complex variables and product BMO. Zbl 1163.47024Lacey, Michael; Terwilleger, Erin 22 2009 Breaking the duality in the return times theorem. Zbl 1213.42064Demeter, Ciprian; Lacey, Michael T.; Tao, Terence; Thiele, Christoph 19 2008 Borderline weak-type estimates for singular integrals and square functions. Zbl 1343.42012Domingo-Salazar, Carlos; Lacey, Michael; Rey, Guillermo 19 2016 On Calderón’s conjecture for the bilinear Hilbert transform. Zbl 0915.42011Lacey, Michael T.; Thiele, Christoph M. 18 1998 Pointwise convergence of vector-valued Fourier series. Zbl 1285.42005Hytönen, Tuomas P.; Lacey, Michael T. 17 2013 Paraproducts in one and several parameters. Zbl 1143.42019Lacey, Michael; Metcalfe, Jason 17 2007 \(L^p\) estimates for the bilinear Hilbert transform. Zbl 0946.44001Lacey, Michael; Thiele, Christoph 17 1997 The sparse T1 theorem. Zbl 1378.42010Lacey, Michael T.; Arias, Darío Mena 16 2017 Carleson’s theorem: proof, complements, variations. Zbl 1066.42003Lacey, Michael T. 15 2004 Sparse bounds for oscillatory and random singular integrals. Zbl 1355.42010Lacey, Michael T.; Spencer, Scott 15 2017 Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001Culiuc, Amalia; Kesler, Robert; Lacey, Michael T. 14 2019 On the separated bumps conjecture for Calderón-Zygmund operators. Zbl 1345.42015Lacey, Michael T. 14 2016 On \(A_p\)-\(A_\infty \) type estimates for square functions. Zbl 1370.42015Lacey, Michael T.; Li, Kangwei 14 2016 On bilinear Littlewood-Paley square functions. Zbl 0869.42005Lacey, M. T. 14 1996 Two weight norm inequalities for the \(g\) function. Zbl 1316.42020Lacey, Michael T.; Li, Kangwei 13 2014 A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 12 2012 Exponential squared integrability of the discrepancy function in two dimensions. Zbl 1198.42001Bilyk, Dmitriy; Lacey, Michael T.; Parissis, Ioannis; Vagharshakyan, Armen 12 2009 The two weight inequality for the Hilbert transform: a primer. Zbl 1395.42034Lacey, Michael T. 12 2017 On the convergence of lacunary Walsh-Fourier series. Zbl 1241.42005Do, Yen Q.; Lacey, Michael T. 11 2012 Issues related to Rubio de Francia’s Littlewood–Paley inequality. Zbl 1142.42007Lacey, Michael T. 11 2007 One-bit sensing, discrepancy and Stolarsky’s principle. Zbl 1388.11052Bilyk, Dmitry; Lacey, Michael T. 11 2017 On entropy bumps for Calderón-Zygmund operators. Zbl 1333.42021Lacey, Michael T.; Spencer, Scott 11 2015 \(\ell^p\)-improving inequalities for discrete spherical averages. Zbl 1449.42033Kesler, R.; Lacey, M. T. 10 2020 Remarks on product \(\text{VMO}\). Zbl 1130.42022Lacey, Michael T.; Terwilleger, Erin; Wick, Brett D. 10 2006 Iterated Riesz commutators: a simple proof of boundedness. Zbl 1204.42035Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 10 2010 Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 10 2010 On central limit theorems, modulus of continuity and Diophantine type for irrational rotations. Zbl 0790.60027Lacey, Michael T. 10 1993 The solution of Kato’s conjectures. Zbl 1017.47034Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe 9 2001 A Wiener-Wintner theorem for the Hilbert transform. Zbl 1214.42003Lacey, Michael; Terwilleger, Erin 9 2008 Lectures on Nehari’s theorem on the polydisk. Zbl 1141.47024Lacey, Michael T. 9 2007 Sparse bounds for Bochner-Riesz multipliers. Zbl 1412.42036Lacey, Michael T.; Mena, Dario; Reguera, Maria Carmen 9 2019 A remark on the multiparameter law of the iterated logarithm. Zbl 0677.60032Lacey, Michael T. 8 1989 Weighted bounds for variational Fourier series. Zbl 1266.42031Do, Yen; Lacey, Michael 8 2012 Multi-parameter Div-Curl lemmas. Zbl 1257.35058Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 8 2012 Sparse endpoint estimates for Bochner-Riesz multipliers on the plane. Zbl 1398.42008Kesler, Robert; Lacey, Michael T. 8 2018 A discrete quadratic Carleson theorem on with \(\ell^2\) a restricted supremum. Zbl 1405.42034Krause, Ben; Lacey, Michael T. 8 2017 Sparse bounds for random discrete Carleson theorems. Zbl 1405.42024Krause, Ben; Lacey, Michael T. 8 2018 Random ergodic theorems with universally representative sequences. Zbl 0813.28004Lacey, Michael; Petersen, Karl; Wierdl, Mate; Rudolph, Dan 8 1994 Local \(T_b\) theorem with \(L^2\) testing conditions and general measures: Calderón-Zygmund operators. Zbl 1345.42016Lacey, Michael T.; Martikainen, Henri 8 2016 The supremum norm of the discrepancy function: recent results and connections. Zbl 1304.11074Bilyk, Dmitriy; Lacey, Michael 8 2013 Variations on the theme of Journé’s lemma. (Variations on a theme of Journé’s lemma.) Zbl 1140.42003Cabrelli, Carlos; Lacey, Michael T.; Molter, Ursula; Pipher, Jill C. 8 2006 The vector valued quartile operator. Zbl 1288.42008Hytönen, Tuomas P.; Lacey, Michael T.; Parissis, Ioannis 7 2013 Large deviations for the maximum local time of stable Lévy processes. Zbl 0727.60086Lacey, Michael 7 1990 A variation norm Carleson theorem for vector-valued Walsh-Fourier series. Zbl 1306.42044Hytönen, Tuomas P.; Lacey, Michael T.; Parissis, Ioannis 7 2014 Ergodic averages on circles. Zbl 0874.28021Lacey, Michael T. 7 1995 Lacunary discrete spherical maximal functions. Zbl 1425.42022Kesler, Robert; Lacey, Michael T.; Mena Arias, Darío 6 2019 Sparse bounds for maximally truncated oscillatory singular integrals. Zbl 1460.42018Krause, Ben; Lacey, Michael T. 6 2020 An \(A_{p}-A_{\infty }\) inequality for the Hilbert transform. Zbl 1266.42034Lacey, Michael T. 6 2012 Commutators with Riesz potentials in one and several parameters. Zbl 1138.42008Lacey, Michael T. 6 2007 Averages along the primes: improving and sparse bounds. Zbl 1436.42013Han, Rui; Krause, Ben; Lacey, Michael T.; Yang, Fan 5 2020 Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027Kesler, Robert; Lacey, Michael T.; Mena, Darío 5 2020 Weighted bounds for variational Walsh-Fourier series. Zbl 1271.42018Do, Yen; Lacey, Michael 5 2012 On the bilinear Hilbert transform. Zbl 0963.42007Lacey, Michael T. 5 1998 On weak convergence in dynamical systems to self-similar processes with spectral representation. Zbl 0741.60026Lacey, Michael T. 5 1991 Commutators of Cauchy-Szegő type integrals for domains in \(\mathbb{C}^n\) with minimal smoothness. Zbl 1476.30141Duong, Xuan; Lacey, Michael; Li, Ji; Wick, Brett; Wu, Qingyan 5 2021 On the discrepancy function in arbitrary dimension, close to \(L^1\). Zbl 1174.11062Lacey, Michael 4 2008 On the signed small ball inequality. Zbl 1186.60009Bilyk, Dmitriy; Lacey, Michael; Vagharshakyan, Armen 4 2008 A three-dimensional signed small ball inequality. Zbl 1223.11094Bilyk, Dmitriy; Lacey, Michael T.; Parissis, Ioannis; Vagharshakyan, Armen 4 2010 Sparse bounds for maximal monomial oscillatory Hilbert transforms. Zbl 1402.42019Krause, Ben; Lacey, Michael T. 4 2018 The perfect local \(Tb\) theorem and twisted martingale transforms. Zbl 1287.42012Lacey, Michael T.; Vähäkangas, Antti V. 4 2014 On almost sure noncentral limit theorems. Zbl 0744.60029Lacey, Michael 4 1991 Improving estimates for discrete polynomial averages. Zbl 1442.42024Han, Rui; Kovač, Vjekoslav; Lacey, Michael T.; Madrid, José; Yang, Fan 4 2020 Local \(Tb\) theorem with \(L^2\) testing conditions and general measures: square functions. Zbl 1388.42044Lacey, Michael T.; Martikainen, Henri 4 2017 Averages along the square integers \(\ell\) p-improving and sparse inequalities. Zbl 1469.11265Han, Rui; Lacey, Michael T.; Yang, Fan 4 2021 Integer sequences with big gaps and the pointwise ergodic theorem. Zbl 0941.28013Jones, Roger L.; Lacey, Michael; Wierdl, Máté 3 1999 Limit laws for local times of the Brownian sheet. Zbl 0681.60076Lacey, Michael T. 3 1990 A weak-type orthogonality principle. Zbl 1042.42011Barrionuevo, Jose; Lacey, Michael T. 3 2003 On an inequality due to Bourgain. Zbl 0881.42012Lacey, Michael 3 1997 The return time theorem fails on infinite measure-preserving systems. Zbl 0894.60001Lacey, Michael T. 3 1997 Two weight inequalities for positive operators: doubling cubes. Zbl 1459.42024Chen, Wei; Lacey, Michael T. 3 2020 On logarithmic bounds of maximal sparse operators. Zbl 1434.42018Karagulyan, Grigori A.; Lacey, Michael T. 2 2020 Carleson’s theorem with quadratic phase functions. Zbl 1019.42006Lacey, Michael T. 2 2002 On an argument of Shkredov on two-dimensional corners. Zbl 1176.11010Lacey, Michael T.; McClain, William 2 2007 Pointwise convergence of Walsh-Fourier series of vector-valued functions. Zbl 1408.42019Hytönen, Tuomas P.; Lacey, Michael T. 2 2018 The linear bound in \(A_2\) for Calderón-Zygmund operators: a survey. Zbl 1241.42011Lacey, Michael 2 2011 Compactness of commutator of Riesz transforms in the two weight setting. Zbl 1479.42040Lacey, Michael; Li, Ji 2 2022 Commutators of Cauchy-Szegő type integrals for domains in \(\mathbb{C}^n\) with minimal smoothness. Zbl 1476.30141Duong, Xuan; Lacey, Michael; Li, Ji; Wick, Brett; Wu, Qingyan 5 2021 Averages along the square integers \(\ell\) p-improving and sparse inequalities. Zbl 1469.11265Han, Rui; Lacey, Michael T.; Yang, Fan 4 2021 Notification of error: “Multiparameter Riesz commutators”. Zbl 07356326Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 1 2021 \(\ell^p\)-improving inequalities for discrete spherical averages. Zbl 1449.42033Kesler, R.; Lacey, M. T. 10 2020 Sparse bounds for maximally truncated oscillatory singular integrals. Zbl 1460.42018Krause, Ben; Lacey, Michael T. 6 2020 Averages along the primes: improving and sparse bounds. Zbl 1436.42013Han, Rui; Krause, Ben; Lacey, Michael T.; Yang, Fan 5 2020 Sparse bounds for the discrete spherical maximal functions. Zbl 1460.42027Kesler, Robert; Lacey, Michael T.; Mena, Darío 5 2020 Improving estimates for discrete polynomial averages. Zbl 1442.42024Han, Rui; Kovač, Vjekoslav; Lacey, Michael T.; Madrid, José; Yang, Fan 4 2020 Two weight inequalities for positive operators: doubling cubes. Zbl 1459.42024Chen, Wei; Lacey, Michael T. 3 2020 On logarithmic bounds of maximal sparse operators. Zbl 1434.42018Karagulyan, Grigori A.; Lacey, Michael T. 2 2020 Sparse bounds for spherical maximal functions. Zbl 1433.42016Lacey, Michael T. 25 2019 Sparse bounds for the discrete cubic Hilbert transform. Zbl 1446.42001Culiuc, Amalia; Kesler, Robert; Lacey, Michael T. 14 2019 Sparse bounds for Bochner-Riesz multipliers. Zbl 1412.42036Lacey, Michael T.; Mena, Dario; Reguera, Maria Carmen 9 2019 Lacunary discrete spherical maximal functions. Zbl 1425.42022Kesler, Robert; Lacey, Michael T.; Mena Arias, Darío 6 2019 On convergence of oscillatory ergodic Hilbert transforms. Zbl 1423.42013Krause, Ben; Lacey, Michael; Wierdl, Mate 1 2019 Sparse endpoint estimates for Bochner-Riesz multipliers on the plane. Zbl 1398.42008Kesler, Robert; Lacey, Michael T. 8 2018 Sparse bounds for random discrete Carleson theorems. Zbl 1405.42024Krause, Ben; Lacey, Michael T. 8 2018 Sparse bounds for maximal monomial oscillatory Hilbert transforms. Zbl 1402.42019Krause, Ben; Lacey, Michael T. 4 2018 Pointwise convergence of Walsh-Fourier series of vector-valued functions. Zbl 1408.42019Hytönen, Tuomas P.; Lacey, Michael T. 2 2018 An elementary proof of the \(A_{2}\) bound. Zbl 1368.42016Lacey, Michael T. 96 2017 Commutators in the two-weight setting. Zbl 1364.42017Holmes, Irina; Lacey, Michael T.; Wick, Brett D. 48 2017 The sparse T1 theorem. Zbl 1378.42010Lacey, Michael T.; Arias, Darío Mena 16 2017 Sparse bounds for oscillatory and random singular integrals. Zbl 1355.42010Lacey, Michael T.; Spencer, Scott 15 2017 The two weight inequality for the Hilbert transform: a primer. Zbl 1395.42034Lacey, Michael T. 12 2017 One-bit sensing, discrepancy and Stolarsky’s principle. Zbl 1388.11052Bilyk, Dmitry; Lacey, Michael T. 11 2017 A discrete quadratic Carleson theorem on with \(\ell^2\) a restricted supremum. Zbl 1405.42034Krause, Ben; Lacey, Michael T. 8 2017 Local \(Tb\) theorem with \(L^2\) testing conditions and general measures: square functions. Zbl 1388.42044Lacey, Michael T.; Martikainen, Henri 4 2017 Bloom’s inequality: commutators in a two-weight setting. Zbl 1342.42005Holmes, Irina; Lacey, Michael T.; Wick, Brett D. 25 2016 Borderline weak-type estimates for singular integrals and square functions. Zbl 1343.42012Domingo-Salazar, Carlos; Lacey, Michael; Rey, Guillermo 19 2016 On the separated bumps conjecture for Calderón-Zygmund operators. Zbl 1345.42015Lacey, Michael T. 14 2016 On \(A_p\)-\(A_\infty \) type estimates for square functions. Zbl 1370.42015Lacey, Michael T.; Li, Kangwei 14 2016 Local \(T_b\) theorem with \(L^2\) testing conditions and general measures: Calderón-Zygmund operators. Zbl 1345.42016Lacey, Michael T.; Martikainen, Henri 8 2016 Non-homogeneous local \(T1\) theorem: dual exponents. Zbl 1345.42017Lacey, Michael T.; Vähäkangas, Antti V. 2 2016 On the local \(Tb\) theorem: a direct proof under the duality assumption. Zbl 1343.42019Lacey, Michael T.; Vähäkangas, Antti V. 1 2016 On entropy bumps for Calderón-Zygmund operators. Zbl 1333.42021Lacey, Michael T.; Spencer, Scott 11 2015 Two-weight inequality for the Hilbert transform: a real variable characterization. I. Zbl 1312.42011Lacey, Michael T.; Sawyer, Eric T.; Shen, Chun-Yen; Uriarte-Tuero, Ignacio 60 2014 Two-weight inequality for the Hilbert transform: a real variable characterization. II. Zbl 1312.42010Lacey, Michael T. 33 2014 Two weight norm inequalities for the \(g\) function. Zbl 1316.42020Lacey, Michael T.; Li, Kangwei 13 2014 A variation norm Carleson theorem for vector-valued Walsh-Fourier series. Zbl 1306.42044Hytönen, Tuomas P.; Lacey, Michael T.; Parissis, Ioannis 7 2014 The perfect local \(Tb\) theorem and twisted martingale transforms. Zbl 1287.42012Lacey, Michael T.; Vähäkangas, Antti V. 4 2014 Dichotomy results for the \(L^1\) norm of the discrepancy function. Zbl 1370.11093Amirkhanyan, Gagik; Bilyk, Dmitriy; Lacey, Michael T. 2 2014 Sharp weighted bounds for the q-variation of singular integrals. Zbl 1271.42021Hytönen, Tuomas P.; Lacey, Michael T.; Pérez, Carlos 43 2013 Pointwise convergence of vector-valued Fourier series. Zbl 1285.42005Hytönen, Tuomas P.; Lacey, Michael T. 17 2013 The supremum norm of the discrepancy function: recent results and connections. Zbl 1304.11074Bilyk, Dmitriy; Lacey, Michael 8 2013 The vector valued quartile operator. Zbl 1288.42008Hytönen, Tuomas P.; Lacey, Michael T.; Parissis, Ioannis 7 2013 On the \(A_2\) inequality for Calderón-Zygmund operators. Zbl 1271.42023Lacey, Michael T. 1 2013 A characterization of two weight norm inequalities for maximal singular integrals with one doubling measure. Zbl 1279.42016Lacey, Michael; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 47 2012 The \(A_p-A_ {\infty}\) inequality for general Calderón-Zygmund operators. Zbl 1290.42037Hytönen, Tuomas P.; Lacey, Michael T. 44 2012 Weak and strong type estimates for maximal truncations of Calderón-Zygmund operators on \(A_p\) weighted spaces. Zbl 1278.42025Hytönen, Tuomas P.; Lacey, Michael T.; Martikainen, Henri; Orponen, Tuomas; Reguera, Maria Carmen; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 24 2012 A two weight inequality for the Hilbert transform assuming an energy hypothesis. Zbl 1252.42018Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 12 2012 On the convergence of lacunary Walsh-Fourier series. Zbl 1241.42005Do, Yen Q.; Lacey, Michael T. 11 2012 Weighted bounds for variational Fourier series. Zbl 1266.42031Do, Yen; Lacey, Michael 8 2012 Multi-parameter Div-Curl lemmas. Zbl 1257.35058Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 8 2012 An \(A_{p}-A_{\infty }\) inequality for the Hilbert transform. Zbl 1266.42034Lacey, Michael T. 6 2012 Weighted bounds for variational Walsh-Fourier series. Zbl 1271.42018Do, Yen; Lacey, Michael 5 2012 The linear bound in \(A_2\) for Calderón-Zygmund operators: a survey. Zbl 1241.42011Lacey, Michael 2 2011 Sharp weighted bounds for fractional integral operators. Zbl 1196.42014Lacey, Michael T.; Moen, Kabe; Pérez, Carlos; Torres, Rodolfo H. 56 2010 Sharp \(A_{2}\) inequality for Haar shift operators. Zbl 1210.42017Lacey, Michael T.; Petermichl, Stefanie; Reguera, Maria Carmen 49 2010 On a conjecture of E. M. Stein on the Hilbert transform on vector fields. Zbl 1190.42005Lacey, Michael; Li, Xiaochun 25 2010 Iterated Riesz commutators: a simple proof of boundedness. Zbl 1204.42035Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 10 2010 Astala’s conjecture on distortion of Hausdorff measures under quasiconformal maps in the plane. Zbl 1211.30036Lacey, Michael T.; Sawyer, Eric T.; Uriarte-Tuero, Ignacio 10 2010 A three-dimensional signed small ball inequality. Zbl 1223.11094Bilyk, Dmitriy; Lacey, Michael T.; Parissis, Ioannis; Vagharshakyan, Armen 4 2010 Multiparameter Riesz commutators. Zbl 1170.42003Lacey, Michael T.; Petermichl, Stefanie; Pipher, Jill C.; Wick, Brett D. 27 2009 Hankel operators in several complex variables and product BMO. Zbl 1163.47024Lacey, Michael; Terwilleger, Erin 22 2009 Exponential squared integrability of the discrepancy function in two dimensions. Zbl 1198.42001Bilyk, Dmitriy; Lacey, Michael T.; Parissis, Ioannis; Vagharshakyan, Armen 12 2009 Haar shifts, commutators, and Hankel operators. Zbl 1216.47048Lacey, Michael 1 2009 On the small ball inequality in all dimensions. Zbl 1214.42024Bilyk, Dmitriy; Lacey, Michael T.; Vagharshakyan, Armen 48 2008 On the small ball inequality in three dimensions. Zbl 1202.42007Bilyk, Dmitriy; Lacey, Michael T. 26 2008 Breaking the duality in the return times theorem. Zbl 1213.42064Demeter, Ciprian; Lacey, Michael T.; Tao, Terence; Thiele, Christoph 19 2008 A Wiener-Wintner theorem for the Hilbert transform. Zbl 1214.42003Lacey, Michael; Terwilleger, Erin 9 2008 On the discrepancy function in arbitrary dimension, close to \(L^1\). Zbl 1174.11062Lacey, Michael 4 2008 On the signed small ball inequality. Zbl 1186.60009Bilyk, Dmitriy; Lacey, Michael; Vagharshakyan, Armen 4 2008 The Walsh model for \(M_2^*\) Carleson. Zbl 1158.42011Demeter, Ciprian; Lacey, Michael; Tao, Terence; Thiele, Christoph 1 2008 Paraproducts in one and several parameters. Zbl 1143.42019Lacey, Michael; Metcalfe, Jason 17 2007 Issues related to Rubio de Francia’s Littlewood–Paley inequality. Zbl 1142.42007Lacey, Michael T. 11 2007 Lectures on Nehari’s theorem on the polydisk. Zbl 1141.47024Lacey, Michael T. 9 2007 Commutators with Riesz potentials in one and several parameters. Zbl 1138.42008Lacey, Michael T. 6 2007 On an argument of Shkredov on two-dimensional corners. Zbl 1176.11010Lacey, Michael T.; McClain, William 2 2007 Maximal theorems for the directional Hilbert transform on the plane. Zbl 1095.42010Lacey, Michael T.; Li, Xiaochun 27 2006 Remarks on product \(\text{VMO}\). Zbl 1130.42022Lacey, Michael T.; Terwilleger, Erin; Wick, Brett D. 10 2006 Variations on the theme of Journé’s lemma. (Variations on a theme of Journé’s lemma.) Zbl 1140.42003Cabrelli, Carlos; Lacey, Michael T.; Molter, Ursula; Pipher, Jill C. 8 2006 Carleson’s theorem: proof, complements, variations. Zbl 1066.42003Lacey, Michael T. 15 2004 A weak-type orthogonality principle. Zbl 1042.42011Barrionuevo, Jose; Lacey, Michael T. 3 2003 The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\). Zbl 1128.35316Auscher, Pascal; Hofmann, Steve; Lacey, Michael; McIntosh, Alan; Tchamitchian, Ph. 174 2002 A characterization of product BMO by commutators. Zbl 1039.47022Ferguson, Sarah H.; Lacey, Michael T. 74 2002 The solution of the Kato problem for divergence from elliptic operators with Gaussian heat kernel bounds. Zbl 1128.35317Hofmann, Steve; Lacey, Michael; McIntosh, Alan 32 2002 Carleson’s theorem with quadratic phase functions. Zbl 1019.42006Lacey, Michael T. 2 2002 The solution of Kato’s conjectures. Zbl 1017.47034Auscher, Pascal; Hofmann, Steve; Lacey, Michael; Lewis, John; McIntosh, Alan; Tchamitchian, Philippe 9 2001 A proof of boundedness of the Carleson operator. Zbl 0966.42009Lacey, Michael; Thiele, Christoph 53 2000 The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\). Zbl 0967.47031Lacey, Michael T. 44 2000 On Calderón’s conjecture. Zbl 0934.42012Lacey, Michael; Thiele, Christoph 154 1999 Integer sequences with big gaps and the pointwise ergodic theorem. Zbl 0941.28013Jones, Roger L.; Lacey, Michael; Wierdl, Máté 3 1999 On Calderón’s conjecture for the bilinear Hilbert transform. Zbl 0915.42011Lacey, Michael T.; Thiele, Christoph M. 18 1998 On the bilinear Hilbert transform. Zbl 0963.42007Lacey, Michael T. 5 1998 \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\). Zbl 0914.46034Lacey, Michael; Thiele, Christoph 163 1997 \(L^p\) estimates for the bilinear Hilbert transform. Zbl 0946.44001Lacey, Michael; Thiele, Christoph 17 1997 On an inequality due to Bourgain. Zbl 0881.42012Lacey, Michael 3 1997 The return time theorem fails on infinite measure-preserving systems. Zbl 0894.60001Lacey, Michael T. 3 1997 Sharp estimates of the Sobolev norm of \(u\) times the gradient of \(v\). Zbl 0886.46039Lacey, M. T. 1 1997 ...and 12 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 971 Authors 51 Lacey, Michael T. 30 Li, Ji 28 Hytönen, Tuomas P. 28 Li, Kangwei 27 Hofmann, Steve 26 Thiele, Christoph Martin 26 Wick, Brett Duane 24 Grafakos, Loukas 21 Duong, Xuan Thinh 20 Auscher, Pascal 19 di Plinio, Francesco 19 Xue, Qingying 17 Lu, Guozhen 16 Lerner, Andrei K. 16 Martell, José María (Chema) 16 Martikainen, Henri 15 Pillichshammer, Friedrich 15 Sawyer, Eric T. 15 Shrivastava, Saurabh 15 Yang, Dachun 14 Berkes, István 14 Bernicot, Frédéric 14 Chen, Yanping 14 Cruz-Uribe, David Vincente 14 Vuorinen, Emil 13 Mayboroda, Svitlana 13 Moen, Kabe 13 Pérez, Carlos 13 Pipher, Jill Catherine 13 Rivera-Ríos, Israel P. 13 Tao, Terence 12 Ding, Yong 12 McIntosh, Alan 12 Muscalu, Camil 12 Wu, Qunying 12 Yang, Dongyong 11 Bilyk, Dmitry 11 Demeter, Ciprian 11 Ou, Yumeng 11 Roos, Joris 11 Torres, Rodolfo H. 11 Wu, Huoxiong 10 Cao, Mingming 10 Han, Yongsheng 10 Hong, Guixiang 10 Ombrosi, Sheldy Javier 10 Osękowski, Adam 10 Petermichl, Stefanie 10 Sun, Wenchang 9 Guo, Shaoming 9 Hu, Guoen 9 Kovač, Vjekoslav 9 Krause, Ben 9 Treil, Sergei 9 Uriarte-Tuero, Ignacio 9 Weber, Michel Jean Georges 9 Yu, Haixia 8 Anderson, Theresa C. 8 Csáki, Endre 8 Dick, Josef 8 Ding, Wei 8 Horváth, Lajos 8 Rahm, Robert 7 Bandara, Lashi 7 Betancor Perez, Jorge Juan 7 Carro, María Jesús 7 Durcik, Polona 7 Kesler, Robert M. 7 Meskhi, Alexander 7 Mourgoglou, Mihalis 7 Nyström, Kaj 7 Sehba, Benoit Florent 7 Song, Liang 7 Steinerberger, Stefan 7 Volberg, Alexander Lvovich 6 Dindoš, Martin 6 Frey, Dorothee 6 Giuliano, Rita 6 He, Danqing 6 Hu, Bingyang 6 Isralowitz, Joshua 6 Kokilashvili, Vakhtang Mikhailovich 6 Lie, Victor Daniel 6 Macci, Claudio 6 Miao, Yu 6 Mitrea, Marius 6 Mohanty, Parasar 6 Naibo, Virginia 6 Parissis, Ioannis R. 6 Reguera, Maria Carmen 6 Roncal, Luz 6 Sawano, Yoshihiro 6 Tanaka, Hitoshi 6 Veraar, Mark C. 6 Ward, Lesley A. 6 Wen, Yongming 6 Yabuta, Kôzô 6 Yan, Lixin 6 Zorin-Kranich, Pavel 5 Amenta, Alex ...and 871 more Authors all top 5 Cited in 221 Serials 62 Journal of Functional Analysis 62 The Journal of Geometric Analysis 47 Journal of Mathematical Analysis and Applications 42 Proceedings of the American Mathematical Society 42 The Journal of Fourier Analysis and Applications 41 Transactions of the American Mathematical Society 39 Advances in Mathematics 33 Mathematische Annalen 31 Statistics & Probability Letters 30 Journal d’Analyse Mathématique 27 Revista Matemática Iberoamericana 21 Mathematische Zeitschrift 21 Stochastic Processes and their Applications 16 Studia Mathematica 16 Acta Mathematica Sinica. 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Razmadze Mathematical Institute 2 Bulletin of the Australian Mathematical Society 2 Computers & Mathematics with Applications 2 Journal of Statistical Physics 2 American Journal of Mathematics ...and 121 more Serials all top 5 Cited in 44 Fields 802 Harmonic analysis on Euclidean spaces (42-XX) 237 Operator theory (47-XX) 189 Probability theory and stochastic processes (60-XX) 182 Functional analysis (46-XX) 142 Partial differential equations (35-XX) 84 Number theory (11-XX) 56 Real functions (26-XX) 45 Dynamical systems and ergodic theory (37-XX) 41 Functions of a complex variable (30-XX) 39 Integral transforms, operational calculus (44-XX) 30 Measure and integration (28-XX) 25 Abstract harmonic analysis (43-XX) 25 Numerical analysis (65-XX) 22 Potential theory (31-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Statistics (62-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Approximations and expansions (41-XX) 8 Combinatorics (05-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Topological groups, Lie groups (22-XX) 5 Convex and discrete geometry (52-XX) 5 Fluid mechanics (76-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Sequences, series, summability (40-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 History and biography (01-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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