Li, Junfeng; Yu, Haixia \(L^p\) boundedness of Carleson & Hilbert transforms along plane curves with certain curvature constraints. (English) Zbl 07477118 J. Fourier Anal. Appl. 28, No. 1, Paper No. 11, 33 p. (2022). Reviewer: Israel Pablo Rivera Ríos (Bahía Blanca) MSC: 42B20 42B25 44A15 PDF BibTeX XML Cite \textit{J. Li} and \textit{H. Yu}, J. Fourier Anal. Appl. 28, No. 1, Paper No. 11, 33 p. (2022; Zbl 07477118) Full Text: DOI OpenURL
Do, Yen; Lewers, Mark Generalized Carleson embeddings into weighted outer measure spaces. (English) Zbl 1475.42023 J. Math. Anal. Appl. 506, No. 2, Article ID 125698, 34 p. (2022). MSC: 42B20 28A12 42A20 42C40 46E30 46E15 PDF BibTeX XML Cite \textit{Y. Do} and \textit{M. Lewers}, J. Math. Anal. Appl. 506, No. 2, Article ID 125698, 34 p. (2022; Zbl 1475.42023) Full Text: DOI arXiv OpenURL
Durcik, Polona; Thiele, Christoph Singular Brascamp-Lieb: a survey. (English) Zbl 1480.42018 Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 321-349 (2021). MSC: 42B20 PDF BibTeX XML Cite \textit{P. Durcik} and \textit{C. Thiele}, Springer INdAM Ser. 45, 321--349 (2021; Zbl 1480.42018) Full Text: DOI arXiv OpenURL
Benea, Cristina; Muscalu, Camil Sparse domination via the helicoidal method. (English) Zbl 1472.42011 Rev. Mat. Iberoam. 37, No. 6, 2037-2118 (2021). MSC: 42A45 42C40 PDF BibTeX XML Cite \textit{C. Benea} and \textit{C. Muscalu}, Rev. Mat. Iberoam. 37, No. 6, 2037--2118 (2021; Zbl 1472.42011) Full Text: DOI arXiv OpenURL
Zorin-Kranich, Pavel Maximal polynomial modulations of singular integrals. (English) Zbl 1467.42024 Adv. Math. 386, Article ID 107832, 40 p. (2021). MSC: 42B20 PDF BibTeX XML Cite \textit{P. Zorin-Kranich}, Adv. Math. 386, Article ID 107832, 40 p. (2021; Zbl 1467.42024) Full Text: DOI arXiv OpenURL
Ramos, João P. G. Uniform bounds for oscillatory and polynomial Carleson operators. (English) Zbl 1459.42007 J. Fourier Anal. Appl. 27, No. 1, Paper No. 5, 15 p. (2021). MSC: 42A20 42A50 42B25 PDF BibTeX XML Cite \textit{J. P. G. Ramos}, J. Fourier Anal. Appl. 27, No. 1, Paper No. 5, 15 p. (2021; Zbl 1459.42007) Full Text: DOI arXiv OpenURL
Ramos, João P. G. The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals. (English) Zbl 1457.42030 Math. Ann. 379, No. 1-2, 159-185 (2021). MSC: 42B20 42B25 44A12 PDF BibTeX XML Cite \textit{J. P. G. Ramos}, Math. Ann. 379, No. 1--2, 159--185 (2021; Zbl 1457.42030) Full Text: DOI arXiv OpenURL
Duong, Dao Van; Dung, Kieu Huu; Nguyen Minh Chuong Vector valued maximal Carleson type operators on the weighted Lorentz spaces. (English) Zbl 1460.42016 Z. Anal. Anwend. 39, No. 4, 433-460 (2020). MSC: 42B20 42B25 42B99 PDF BibTeX XML Cite \textit{D. Van Duong} et al., Z. Anal. Anwend. 39, No. 4, 433--460 (2020; Zbl 1460.42016) Full Text: DOI arXiv OpenURL
Yu, Haixia; He, Kaili; Li, Dan Estimates for Hilbert transforms along variable general curves. (English) Zbl 1462.44004 J. Math. Anal. Appl. 491, No. 2, Article ID 124394, 20 p. (2020). MSC: 44A15 42B20 PDF BibTeX XML Cite \textit{H. Yu} et al., J. Math. Anal. Appl. 491, No. 2, Article ID 124394, 20 p. (2020; Zbl 1462.44004) Full Text: DOI OpenURL
Boudabra, Maher; Markowsky, Greg A new solution to the conformal Skorokhod embedding problem and applications to the Dirichlet eigenvalue problem. (English) Zbl 1471.60127 J. Math. Anal. Appl. 491, No. 2, Article ID 124351, 13 p. (2020). MSC: 60J65 30E20 30H10 35K05 44A15 PDF BibTeX XML Cite \textit{M. Boudabra} and \textit{G. Markowsky}, J. Math. Anal. Appl. 491, No. 2, Article ID 124351, 13 p. (2020; Zbl 1471.60127) Full Text: DOI OpenURL
Amenta, Alex; Uraltsev, Gennady The bilinear Hilbert transform in UMD spaces. (English) Zbl 1471.42030 Math. Ann. 378, No. 3-4, 1129-1221 (2020). Reviewer: Feng Liu (Qingdao) MSC: 42B20 42B25 46F12 42B35 46E35 PDF BibTeX XML Cite \textit{A. Amenta} and \textit{G. Uraltsev}, Math. Ann. 378, No. 3--4, 1129--1221 (2020; Zbl 1471.42030) Full Text: DOI arXiv OpenURL
Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen [Lanzani, Loredana; Magyar, Akos; Mirek, Mariusz; Nagel, Alexander; Phong, D. H.; Pierce, Lillian; Ricci, Fulvio; Sogge, Christopher; Street, Brian] Analysis and applications: the mathematical work of Elias Stein. (English) Zbl 1452.32001 Bull. Am. Math. Soc., New Ser. 57, No. 4, 523-594 (2020). MSC: 32-02 35-02 42-02 PDF BibTeX XML Cite \textit{C. Fefferman} et al., Bull. Am. Math. Soc., New Ser. 57, No. 4, 523--594 (2020; Zbl 1452.32001) Full Text: DOI OpenURL
Prestini, Elena New exceptional sets and convergence of the square partial sums of Walsh-Fourier series. (English) Zbl 07244194 Acta Math. Sin., Engl. Ser. 36, No. 7, 733-748 (2020). MSC: 42C10 42B20 42B08 PDF BibTeX XML Cite \textit{E. Prestini}, Acta Math. Sin., Engl. Ser. 36, No. 7, 733--748 (2020; Zbl 07244194) Full Text: DOI OpenURL
Lie, Victor The polynomial Carleson operator. (English) Zbl 1446.42003 Ann. Math. (2) 192, No. 1, 47-163 (2020). MSC: 42A20 42A50 35S30 PDF BibTeX XML Cite \textit{V. Lie}, Ann. Math. (2) 192, No. 1, 47--163 (2020; Zbl 1446.42003) Full Text: DOI arXiv OpenURL
Amenta, Alex; Uraltsev, Gennady Banach-valued modulation invariant Carleson embeddings and outer-\(L^p\) spaces: the Walsh case. (English) Zbl 1439.42013 J. Fourier Anal. Appl. 26, No. 4, Paper No. 53, 54 p. (2020). MSC: 42B20 42B25 47A56 PDF BibTeX XML Cite \textit{A. Amenta} and \textit{G. Uraltsev}, J. Fourier Anal. Appl. 26, No. 4, Paper No. 53, 54 p. (2020; Zbl 1439.42013) Full Text: DOI arXiv OpenURL
Kesler, Robert \(L^p\) estimates for semi-degenerate simplex multipliers. (English) Zbl 1437.42012 Rev. Mat. Iberoam. 36, No. 1, 99-158 (2020). MSC: 42B15 PDF BibTeX XML Cite \textit{R. Kesler}, Rev. Mat. Iberoam. 36, No. 1, 99--158 (2020; Zbl 1437.42012) Full Text: DOI arXiv OpenURL
Boche, Holger; Pohl, Volker On approximations for functions in the space of uniformly convergent Fourier series. (English) Zbl 1431.42003 J. Approx. Theory 249, Article ID 105307, 28 p. (2020). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 42A20 41A65 68Q04 94A20 PDF BibTeX XML Cite \textit{H. Boche} and \textit{V. Pohl}, J. Approx. Theory 249, Article ID 105307, 28 p. (2020; Zbl 1431.42003) Full Text: DOI OpenURL
Yu, Hai Xia; Li, Jun Feng Weak (1,1) boundedness of oscillatory singular integral with variable phase. (English) Zbl 1428.42026 Acta Math. Sin., Engl. Ser. 35, No. 11, 1741-1759 (2019). MSC: 42B20 PDF BibTeX XML Cite \textit{H. X. Yu} and \textit{J. F. Li}, Acta Math. Sin., Engl. Ser. 35, No. 11, 1741--1759 (2019; Zbl 1428.42026) Full Text: DOI OpenURL
Lie, Victor The pointwise convergence of Fourier series. II: strong \(L^1\) case for the lacunary Carleson operator. (English) Zbl 1429.42003 Adv. Math. 357, Article ID 106831, 84 p. (2019). MSC: 42A20 PDF BibTeX XML Cite \textit{V. Lie}, Adv. Math. 357, Article ID 106831, 84 p. (2019; Zbl 1429.42003) Full Text: DOI arXiv OpenURL
Roos, Joris Bounds for anisotropic Carleson operators. (English) Zbl 1423.42032 J. Fourier Anal. Appl. 25, No. 5, 2324-2355 (2019). MSC: 42B20 42B25 44A12 PDF BibTeX XML Cite \textit{J. Roos}, J. Fourier Anal. Appl. 25, No. 5, 2324--2355 (2019; Zbl 1423.42032) Full Text: DOI arXiv OpenURL
Gallavotti, Giovanni Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators. (English) Zbl 1456.70032 J. Math. Phys. 60, No. 6, 062901, 9 p. (2019). MSC: 70H08 37J40 37F25 70J25 42A20 PDF BibTeX XML Cite \textit{G. Gallavotti}, J. Math. Phys. 60, No. 6, 062901, 9 p. (2019; Zbl 1456.70032) Full Text: DOI arXiv OpenURL
Franklin, Johanna N. Y.; McNicholl, Timothy H.; Rute, Jason Algorithmic randomness and Fourier analysis. (English) Zbl 1454.03054 Theory Comput. Syst. 63, No. 3, 567-586 (2019). MSC: 03D32 03D78 42B10 PDF BibTeX XML Cite \textit{J. N. Y. Franklin} et al., Theory Comput. Syst. 63, No. 3, 567--586 (2019; Zbl 1454.03054) Full Text: DOI arXiv OpenURL
Yu, Haixia Hilbert transforms along double variable fractional monomials. (English) Zbl 1409.42014 Commun. Pure Appl. Anal. 18, No. 3, 1433-1446 (2019). MSC: 42B20 42B25 PDF BibTeX XML Cite \textit{H. Yu}, Commun. Pure Appl. Anal. 18, No. 3, 1433--1446 (2019; Zbl 1409.42014) Full Text: DOI OpenURL
Mastyło, Mieczysław; Rodríguez-Piazza, Luis Convergence almost everywhere of multiple Fourier series over cubes. (English) Zbl 1385.43002 Trans. Am. Math. Soc. 370, No. 3, 1629-1659 (2018). Reviewer: Ioannis Parissis (Bilbao) MSC: 43A50 42B20 42B05 PDF BibTeX XML Cite \textit{M. Mastyło} and \textit{L. Rodríguez-Piazza}, Trans. Am. Math. Soc. 370, No. 3, 1629--1659 (2018; Zbl 1385.43002) Full Text: DOI OpenURL
Guo, Shaoming; Pierce, Lillian B.; Roos, Joris; Yung, Po-Lam Polynomial Carleson operators along monomial curves in the plane. (English) Zbl 1388.42040 J. Geom. Anal. 27, No. 4, 2977-3012 (2017). MSC: 42B20 42B25 44A12 PDF BibTeX XML Cite \textit{S. Guo} et al., J. Geom. Anal. 27, No. 4, 2977--3012 (2017; Zbl 1388.42040) Full Text: DOI arXiv OpenURL
Lacey, Michael T. The two weight inequality for the Hilbert transform: a primer. (English) Zbl 1395.42034 Pereyra, María Cristina (ed.) et al., Harmonic analysis, partial differential equations, Banach spaces, and operator theory. Volume 2. Celebrating Cora Sadosky’s life. Cham: Springer (ISBN 978-3-319-51591-5/hbk; 978-3-319-51593-9/ebook). Association for Women in Mathematics Series 5, 11-84 (2017). Reviewer: Boris Rubin (Baton Rouge) MSC: 42B20 PDF BibTeX XML Cite \textit{M. T. Lacey}, Assoc. Women Math. Ser. 5, 11--84 (2017; Zbl 1395.42034) Full Text: DOI arXiv OpenURL
Folland, G. B. Some topics in the history of harmonic analysis in the twentieth century. (English) Zbl 1391.42002 Indian J. Pure Appl. Math. 48, No. 1, 1-58 (2017). Reviewer: Radoslav M. Dimitrić (New York) MSC: 42-03 43-03 01A60 PDF BibTeX XML Cite \textit{G. B. Folland}, Indian J. Pure Appl. Math. 48, No. 1, 1--58 (2017; Zbl 1391.42002) Full Text: DOI OpenURL
Lie, Victor Pointwise convergence of Fourier series. I: On a conjecture of Konyagin. (English) Zbl 1372.42001 J. Eur. Math. Soc. (JEMS) 19, No. 6, 1655-1728 (2017). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A20 46E30 PDF BibTeX XML Cite \textit{V. Lie}, J. Eur. Math. Soc. (JEMS) 19, No. 6, 1655--1728 (2017; Zbl 1372.42001) Full Text: DOI arXiv OpenURL
Guo, Jingwei; Xiao, Lechao Bilinear Hilbert transforms associated with plane curves. (English) Zbl 1337.42011 J. Geom. Anal. 26, No. 2, 967-995 (2016). MSC: 42B20 42B25 47B38 PDF BibTeX XML Cite \textit{J. Guo} and \textit{L. Xiao}, J. Geom. Anal. 26, No. 2, 967--995 (2016; Zbl 1337.42011) Full Text: DOI arXiv OpenURL
Guo, Shaoming Oscillatory integrals related to Carleson’s theorem: fractional monomials. (English) Zbl 1334.42014 Commun. Pure Appl. Anal. 15, No. 3, 929-946 (2016). MSC: 42A50 42B20 42A20 PDF BibTeX XML Cite \textit{S. Guo}, Commun. Pure Appl. Anal. 15, No. 3, 929--946 (2016; Zbl 1334.42014) Full Text: DOI arXiv OpenURL
Demeter, Ciprian A guide to Carleson’s theorem. (English) Zbl 1400.42004 Rocky Mt. J. Math. 45, No. 1, 169-212 (2015). MSC: 42A20 42A45 PDF BibTeX XML Cite \textit{C. Demeter}, Rocky Mt. J. Math. 45, No. 1, 169--212 (2015; Zbl 1400.42004) Full Text: DOI arXiv Euclid OpenURL
Luthy, Peter M. On a biparameter maximal multilinear operator. (English) Zbl 1405.42037 J. Funct. Anal. 268, No. 5, 1105-1152 (2015). MSC: 42B25 42B20 PDF BibTeX XML Cite \textit{P. M. Luthy}, J. Funct. Anal. 268, No. 5, 1105--1152 (2015; Zbl 1405.42037) Full Text: DOI arXiv OpenURL
Lacey, Michael T. Two-weight inequality for the Hilbert transform: a real variable characterization. II. (English) Zbl 1312.42010 Duke Math. J. 163, No. 15, 2821-2840 (2014). Reviewer: Lalit Kumar Vashisht (Delhi) MSC: 42A38 44A15 42B10 42B20 42B25 PDF BibTeX XML Cite \textit{M. T. Lacey}, Duke Math. J. 163, No. 15, 2821--2840 (2014; Zbl 1312.42010) Full Text: DOI arXiv Euclid OpenURL
Di Plinio, Francesco; Lerner, Andrei K. On weighted norm inequalities for the Carleson and Walsh-Carleson operator. (English) Zbl 1314.42019 J. Lond. Math. Soc., II. Ser. 90, No. 3, 654-674 (2014). Reviewer: Fayou Zhao (Shanghai) MSC: 42B20 42B25 PDF BibTeX XML Cite \textit{F. Di Plinio} and \textit{A. K. Lerner}, J. Lond. Math. Soc., II. Ser. 90, No. 3, 654--674 (2014; Zbl 1314.42019) Full Text: DOI arXiv OpenURL
Di Plinio, Francesco Weak-\(L^p\) bounds for the Carleson and Walsh-Carleson operators. (Estimation \(L^{p,\infty}\) pour les opérateurs de Carleson et de Walsh-Carleson.) (English. French summary) Zbl 1290.42045 C. R., Math., Acad. Sci. Paris 352, No. 4, 327-331 (2014). Reviewer: Wen Yuan (Beijing) MSC: 42B25 42C10 PDF BibTeX XML Cite \textit{F. Di Plinio}, C. R., Math., Acad. Sci. Paris 352, No. 4, 327--331 (2014; Zbl 1290.42045) Full Text: DOI arXiv OpenURL
Dutkay, Dorin Ervin; Han, Deguang; Sun, Qiyu Divergence of the mock and scrambled Fourier series on fractal measures. (English) Zbl 1406.42008 Trans. Am. Math. Soc. 366, No. 4, 2191-2208 (2014). MSC: 42B05 28A80 PDF BibTeX XML Cite \textit{D. E. Dutkay} et al., Trans. Am. Math. Soc. 366, No. 4, 2191--2208 (2014; Zbl 1406.42008) Full Text: DOI arXiv OpenURL
Chen, Peng; Sikora, Adam Sharp spectral multipliers for a new class of Grushin type operators. (English) Zbl 1327.35112 J. Fourier Anal. Appl. 19, No. 6, 1274-1293 (2013). Reviewer: Vladimir V. Peller (East Lansing) MSC: 35J70 35H20 35L05 58J35 PDF BibTeX XML Cite \textit{P. Chen} and \textit{A. Sikora}, J. Fourier Anal. Appl. 19, No. 6, 1274--1293 (2013; Zbl 1327.35112) Full Text: DOI arXiv OpenURL
Lyons, Terry J.; Yang, Danyu The partial sum process of orthogonal expansions as geometric rough process with Fourier series as an example – an improvement of Menshov-Rademacher theorem. (English) Zbl 1284.42082 J. Funct. Anal. 265, No. 12, 3067-3103 (2013). MSC: 42C05 42A61 46E35 PDF BibTeX XML Cite \textit{T. J. Lyons} and \textit{D. Yang}, J. Funct. Anal. 265, No. 12, 3067--3103 (2013; Zbl 1284.42082) Full Text: DOI arXiv OpenURL
Bauerschmidt, Roland A simple method for finite range decomposition of quadratic forms and Gaussian fields. (English) Zbl 1347.60037 Probab. Theory Relat. Fields 157, No. 3-4, 817-845 (2013). MSC: 60G15 60G60 35J08 PDF BibTeX XML Cite \textit{R. Bauerschmidt}, Probab. Theory Relat. Fields 157, No. 3--4, 817--845 (2013; Zbl 1347.60037) Full Text: DOI arXiv OpenURL
Bateman, Michael Maximal averages along a planar vector field depending on one variable. (English) Zbl 1278.42024 Trans. Am. Math. Soc. 365, No. 8, 4063-4079 (2013). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B25 42B20 PDF BibTeX XML Cite \textit{M. Bateman}, Trans. Am. Math. Soc. 365, No. 8, 4063--4079 (2013; Zbl 1278.42024) Full Text: DOI arXiv OpenURL
Bardet, Jean-Marc; Bibi, Hatem Adaptive semiparametric wavelet estimator and goodness-of-fit test for long-memory linear processes. (English) Zbl 1295.62082 Electron. J. Stat. 6, 2383-2419 (2012). MSC: 62M07 62M09 62M10 62M15 60F05 PDF BibTeX XML Cite \textit{J.-M. Bardet} and \textit{H. Bibi}, Electron. J. Stat. 6, 2383--2419 (2012; Zbl 1295.62082) Full Text: DOI arXiv Euclid OpenURL
Do, Yen; Lacey, Michael Weighted bounds for variational Walsh-Fourier series. (English) Zbl 1271.42018 J. Fourier Anal. Appl. 18, No. 6, 1318-1339 (2012). Reviewer: Kwok Pun Ho (Hong Kong) MSC: 42B20 42B25 42B35 PDF BibTeX XML Cite \textit{Y. Do} and \textit{M. Lacey}, J. Fourier Anal. Appl. 18, No. 6, 1318--1339 (2012; Zbl 1271.42018) Full Text: DOI arXiv OpenURL
Lie, Victor On the pointwise convergence of the sequence of partial Fourier sums along lacunary subsequences. (English) Zbl 1259.42005 J. Funct. Anal. 263, No. 11, 3391-3411 (2012). Reviewer: Ferenc Móricz (Szeged) MSC: 42A20 42A55 PDF BibTeX XML Cite \textit{V. Lie}, J. Funct. Anal. 263, No. 11, 3391--3411 (2012; Zbl 1259.42005) Full Text: DOI arXiv OpenURL
Prestini, Elena; Wang, Silei PP* estimates for the truncated carleson operator. (English) Zbl 1250.42027 Monatsh. Math. 167, No. 3-4, 571-581 (2012). MSC: 42A50 42A45 PDF BibTeX XML Cite \textit{E. Prestini} and \textit{S. Wang}, Monatsh. Math. 167, No. 3--4, 571--581 (2012; Zbl 1250.42027) Full Text: DOI OpenURL
Prestini, Elena Almost orthogonal operators on the bitorus. II. (English) Zbl 1270.42019 Math. Z. 271, No. 1-2, 271-291 (2012). Reviewer: Zhibo Lu (Zhengzhou) MSC: 42B20 PDF BibTeX XML Cite \textit{E. Prestini}, Math. Z. 271, No. 1--2, 271--291 (2012; Zbl 1270.42019) Full Text: DOI OpenURL
Oberlin, Richard; Seeger, Andreas; Tao, Terence; Thiele, Christoph; Wright, James A variation norm Carleson theorem. (English) Zbl 1246.42016 J. Eur. Math. Soc. (JEMS) 14, No. 2, 421-464 (2012). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B15 PDF BibTeX XML Cite \textit{R. Oberlin} et al., J. Eur. Math. Soc. (JEMS) 14, No. 2, 421--464 (2012; Zbl 1246.42016) Full Text: DOI arXiv OpenURL
Palsson, Eyvindur Ari \(L^p\) estimates for a singular integral operator motivated by Calderón’s second commutator. (English) Zbl 1237.42013 J. Funct. Anal. 262, No. 4, 1645-1678 (2012). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B20 PDF BibTeX XML Cite \textit{E. A. Palsson}, J. Funct. Anal. 262, No. 4, 1645--1678 (2012; Zbl 1237.42013) Full Text: DOI arXiv OpenURL
Gilbert, John; Rzeszotnik, Ziemowit The norm of the Fourier transform on finite abelian groups. (English) Zbl 1202.42065 Ann. Inst. Fourier 60, No. 4, 1317-1346 (2010). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 42C40 43A25 43A15 PDF BibTeX XML Cite \textit{J. Gilbert} and \textit{Z. Rzeszotnik}, Ann. Inst. Fourier 60, No. 4, 1317--1346 (2010; Zbl 1202.42065) Full Text: DOI Numdam Numdam EuDML OpenURL
Prestini, Elena Almost orthogonal operators on the bitorus. (English) Zbl 1196.42015 Math. Z. 265, No. 2, 401-415 (2010). Reviewer: Chin-Cheng Lin (Chung-Li) MSC: 42B20 42B08 PDF BibTeX XML Cite \textit{E. Prestini}, Math. Z. 265, No. 2, 401--415 (2010; Zbl 1196.42015) Full Text: DOI OpenURL
Lacey, Michael; Li, Xiaochun On a conjecture of E. M. Stein on the Hilbert transform on vector fields. (English) Zbl 1190.42005 Mem. Am. Math. Soc. 965, viii, 72 p. (2010). Reviewer: Oscar Blasco (Valencia) MSC: 42B25 42A50 PDF BibTeX XML Cite \textit{M. Lacey} and \textit{X. Li}, On a conjecture of E. M. Stein on the Hilbert transform on vector fields. Providence, RI: American Mathematical Society (AMS) (2010; Zbl 1190.42005) Full Text: DOI arXiv OpenURL
Barceló, J. A.; Faraco, D.; Ruiz, A.; Vargas, A. Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers. (English) Zbl 1187.42002 Math. Ann. 346, No. 3, 505-544 (2010). Reviewer: Michael Shapiro (Mexico) MSC: 42B15 35R30 35J05 PDF BibTeX XML Cite \textit{J. A. Barceló} et al., Math. Ann. 346, No. 3, 505--544 (2010; Zbl 1187.42002) Full Text: DOI OpenURL
Bényi, Árpád; Demeter, Ciprian; Nahmod, Andrea R.; Thiele, Christoph M.; Torres, Rodolfo H.; Villarroya, Paco Modulation invariant bilinear \(T(1)\) theorem. (English) Zbl 1193.42070 J. Anal. Math. 109, 279-352 (2009). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B10 45P05 PDF BibTeX XML Cite \textit{Á. Bényi} et al., J. Anal. Math. 109, 279--352 (2009; Zbl 1193.42070) Full Text: DOI arXiv OpenURL
Lie, Victor The (weak-\(L^{2}\)) boundedness of the quadratic Carleson operator. (English) Zbl 1178.42007 Geom. Funct. Anal. 19, No. 2, 457-497 (2009). Reviewer: László Leindler (Szeged) MSC: 42A50 42A20 PDF BibTeX XML Cite \textit{V. Lie}, Geom. Funct. Anal. 19, No. 2, 457--497 (2009; Zbl 1178.42007) Full Text: DOI arXiv OpenURL
Villarroya, Francisco Bilinear multipliers on Lorentz spaces. (English) Zbl 1174.42011 Czech. Math. J. 58, No. 4, 1045-1057 (2008). MSC: 42B10 42B15 42B35 47H60 PDF BibTeX XML Cite \textit{F. Villarroya}, Czech. Math. J. 58, No. 4, 1045--1057 (2008; Zbl 1174.42011) Full Text: DOI arXiv EuDML Link OpenURL
Demeter, Ciprian; Lacey, Michael T.; Tao, Terence; Thiele, Christoph Breaking the duality in the return times theorem. (English) Zbl 1213.42064 Duke Math. J. 143, No. 2, 281-355 (2008). MSC: 42B25 37A45 PDF BibTeX XML Cite \textit{C. Demeter} et al., Duke Math. J. 143, No. 2, 281--355 (2008; Zbl 1213.42064) Full Text: DOI arXiv OpenURL
Li, Xiaochun Uniform bounds for the bilinear Hilbert transforms. II. (English) Zbl 1133.42022 Rev. Mat. Iberoam. 22, No. 3, 1069-1126 (2006). Reviewer: Xuan Thinh Duong (Sydney) MSC: 42B20 42B25 46B70 47B38 PDF BibTeX XML Cite \textit{X. Li}, Rev. Mat. Iberoam. 22, No. 3, 1069--1126 (2006; Zbl 1133.42022) Full Text: DOI Euclid EuDML OpenURL
Prestini, Elena Singular integrals with bilinear phases. (English) Zbl 1129.42371 Acta Math. Sin., Engl. Ser. 22, No. 1, 251-260 (2006). MSC: 42B20 42B08 47G10 PDF BibTeX XML Cite \textit{E. Prestini}, Acta Math. Sin., Engl. Ser. 22, No. 1, 251--260 (2006; Zbl 1129.42371) Full Text: DOI OpenURL
Bilyk, Dmitriy; Grafakos, Loukas Distributional estimates for the bilinear Hilbert transform. (English) Zbl 1112.42005 J. Geom. Anal. 16, No. 4, 563-584 (2006). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B10 46B70 44A15 46F99 PDF BibTeX XML Cite \textit{D. Bilyk} and \textit{L. Grafakos}, J. Geom. Anal. 16, No. 4, 563--584 (2006; Zbl 1112.42005) Full Text: DOI OpenURL
Lacey, Michael T.; Li, Xiaochun Maximal theorems for the directional Hilbert transform on the plane. (English) Zbl 1095.42010 Trans. Am. Math. Soc. 358, No. 9, 4099-4117 (2006). Reviewer: Der-Chen Chang (Washington D. C.) MSC: 42B20 42B25 42B05 PDF BibTeX XML Cite \textit{M. T. Lacey} and \textit{X. Li}, Trans. Am. Math. Soc. 358, No. 9, 4099--4117 (2006; Zbl 1095.42010) Full Text: DOI arXiv OpenURL
Gentile, Guido; Gallavotti, Giovanni Degenerate elliptic resonances. (English) Zbl 1080.37063 Commun. Math. Phys. 257, No. 2, 319-362 (2005). MSC: 37J40 PDF BibTeX XML Cite \textit{G. Gentile} and \textit{G. Gallavotti}, Commun. Math. Phys. 257, No. 2, 319--362 (2005; Zbl 1080.37063) Full Text: DOI arXiv Link OpenURL
Muscalu, Camil; Tao, Terence; Thiele, Christoph Uniform estimates on multi-linear operators with modulation symmetry. (English) Zbl 1041.42013 J. Anal. Math. 88, 255-309 (2002). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B20 47B38 47G10 PDF BibTeX XML Cite \textit{C. Muscalu} et al., J. Anal. Math. 88, 255--309 (2002; Zbl 1041.42013) Full Text: DOI arXiv OpenURL
Muscalu, Camil; Tao, Terence; Thiele, Christoph Multi-linear operators given by singular multipliers. (English) Zbl 0994.42015 J. Am. Math. Soc. 15, No. 2, 469-496 (2002). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B20 47H60 47G10 47B25 PDF BibTeX XML Cite \textit{C. Muscalu} et al., J. Am. Math. Soc. 15, No. 2, 469--496 (2002; Zbl 0994.42015) Full Text: DOI arXiv OpenURL
Gilbert, John E.; Nahmod, Andrea R. Bilinear operators with non-smooth symbol. I. (English) Zbl 0994.42014 J. Fourier Anal. Appl. 7, No. 5, 435-467 (2001). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B20 42C40 42B15 42B25 47G10 47H60 PDF BibTeX XML Cite \textit{J. E. Gilbert} and \textit{A. R. Nahmod}, J. Fourier Anal. Appl. 7, No. 5, 435--467 (2001; Zbl 0994.42014) Full Text: DOI EuDML OpenURL
Prestini, Elena; Sjölin, Per A Littlewood-Paley inequality for the Carleson operator. (English) Zbl 1049.42010 J. Fourier Anal. Appl. 6, No. 5, 457-466 (2000). Reviewer: Kôzô Yabuta (Nishinomiya) MSC: 42B20 42A50 42B25 PDF BibTeX XML Cite \textit{E. Prestini} and \textit{P. Sjölin}, J. Fourier Anal. Appl. 6, No. 5, 457--466 (2000; Zbl 1049.42010) Full Text: DOI EuDML OpenURL
Thiele, Christoph The quartile operator and pointwise convergence of Walsh series. (English) Zbl 0976.42017 Trans. Am. Math. Soc. 352, No. 12, 5745-5766 (2000). Reviewer: Ferenc Weisz (Budapest) MSC: 42C10 42A50 42A20 PDF BibTeX XML Cite \textit{C. Thiele}, Trans. Am. Math. Soc. 352, No. 12, 5745--5766 (2000; Zbl 0976.42017) Full Text: DOI OpenURL
Gilbert, John E.; Nahmod, Andrea R. Hardy spaces and a Walsh model for bilinear cone operators. (English) Zbl 0919.42009 Trans. Am. Math. Soc. 351, No. 8, 3267-3300 (1999). Reviewer: Joseph Lakey (Las Cruces) MSC: 42B15 42B25 42C10 42B30 PDF BibTeX XML Cite \textit{J. E. Gilbert} and \textit{A. R. Nahmod}, Trans. Am. Math. Soc. 351, No. 8, 3267--3300 (1999; Zbl 0919.42009) Full Text: DOI OpenURL
Lacey, Michael; Thiele, Christoph \(L^p\) estimates for the bilinear Hilbert transform. (English) Zbl 0946.44001 Proc. Natl. Acad. Sci. USA 94, No. 1, 33-35 (1997). MSC: 44A15 47A30 PDF BibTeX XML Cite \textit{M. Lacey} and \textit{C. Thiele}, Proc. Natl. Acad. Sci. USA 94, No. 1, 33--35 (1997; Zbl 0946.44001) Full Text: DOI OpenURL
Bourgain, J. A remark on Schrödinger operators. (English) Zbl 0798.35131 Isr. J. Math. 77, No. 1-2, 1-16 (1992). MSC: 35Q40 35B65 35J10 PDF BibTeX XML Cite \textit{J. Bourgain}, Isr. J. Math. 77, No. 1--2, 1--16 (1992; Zbl 0798.35131) Full Text: DOI OpenURL
Prestini, Elena Singular integrals on product spaces with variable coefficients. (English) Zbl 0639.42014 Ark. Mat. 25, 275-287 (1987). Reviewer: E.Prestini MSC: 42B20 42B25 PDF BibTeX XML Cite \textit{E. Prestini}, Ark. Mat. 25, 275--287 (1987; Zbl 0639.42014) Full Text: DOI OpenURL
Prestini, Elena Variants of the maximal double Hilbert transform. (English) Zbl 0524.44002 Trans. Am. Math. Soc. 290, 761-771 (1985). MSC: 44A15 42A20 PDF BibTeX XML Cite \textit{E. Prestini}, Trans. Am. Math. Soc. 290, 761--771 (1985; Zbl 0524.44002) Full Text: DOI OpenURL
Prestini, Elena A contribution to the study of the partial sums operator \(S_{NN^ 2}\) for double Fourier series. (English) Zbl 0535.42012 Ann. Mat. Pura Appl., IV. Ser. 134, 287-300 (1983). Reviewer: B.Ram MSC: 42B05 42B20 PDF BibTeX XML Cite \textit{E. Prestini}, Ann. Mat. Pura Appl. (4) 134, 287--300 (1983; Zbl 0535.42012) Full Text: DOI OpenURL
Prestini, Elena A generalized Bessel inequality. (English) Zbl 0487.42007 Proc. Am. Math. Soc. 83, 99-102 (1981). MSC: 42A20 42A24 PDF BibTeX XML Cite \textit{E. Prestini}, Proc. Am. Math. Soc. 83, 99--102 (1981; Zbl 0487.42007) Full Text: DOI OpenURL