Christoph Thiele

Professor

Link to Math Sci Net (requires access)

Link to Arxiv. (I am not the unique C.Thiele there)

Sected preprints and papers:

  1. (with F. DiPlinio, S. Guo, P. Zorin-Kranich) "Square functions for bi-Lipschitz maps and directional operators." 1706.07111: submitted to JFA

  2. (with O. Saari) "Lipschitz linearization of the maximal hyperbolic cross multiplier ." arXiv1701.05093: submitted to JFAA

  3. "On the first chapter." arXiv1706.08905: submitted to RSL

  4. (with P. Durcik, V. Kovac) "Power-type cancellation for the simplex Hilbert transform." arXiv1608.00156: to appear J. d'Analyse

  5. (with Y. Do, C. Muscalu) "Variational estimates for the bilinear iterated Fourier integral." arXiv:1605.00574 to appear JFA

  6. (with S. Guo) "Hilbert transforms along Lipschitz direction fields: A lacunary model." arXiv:1603.03317 to appear Mathematika

  7. (with P. Durcik, V. Kovac, K. Skreb) "Norm-variation of ergodic averages with respect to two commuting transformations." arXiv:1603.00631 to appear ETDS

  8. (with P. Gressman, D. He, V. Kovac, B.Street, P.-L. Yung) "On a trilinear singular integral form with determinantal kernel." arXiv:1510.01069 Proc. Amer. Math. Soc., Volume 144, Number 8, August 2016, Pages 3465–3477

  9. (with E. Carneiro, D. Foschi, D. Oliveira e Silva) "A sharp trilinear inequality related to Fourier restriction on the circle." arXiv:1509.06674 submitted to Rev. Mat. Iberoamericana

  10. (with D. Oliveira e Silva) "Estimates for certain integrals of products of six Bessel functions ." arXiv:1509.06309 to appear in Rev. Mat. Iberoamericana

  11. (with M. Mirek) "A local Tb theorem for perfect multilinear CZ operators." To appear in Proceedings London MS arxiv 1506.01264

  12. (with V. Kovac and P. Zorin-Kranich) "Dyadic triangular Hilbert transform of two general and one not too general function." arxiv 1506.00861 Forum Math. Sigma 3 (2015), e25, 27 pp.

  13. (with S. Treil and A. Volberg ) "Beyond the scope of doubling measures: weighted martingale transforms via outer measures" arxiv 1411.5345 An older shorter version is available here , Adv. Math. 285 (2015), 1155-1188.

  14. (with F. Di Plinio ) "Endpoint bounds for the bilinear Hilbert transform" arxiv 1403.5978 , Trans. Amer. Math. Soc. 368 (2016), no. 6, 3931-3972.

  15. (with Y. Do ) "Lp theory for outer measures and two themes of Lennart Carleson united" arxiv 1309.0945 , Bulletin AMS (N.S.) 52 (2015) 249-296

  16. (with V. Kovac ) "A T(1) theorem for entangled multilinear dyadic Calderón-Zygmund operators " arxiv 1305.4752 , Illinois J. of Math. 57 (2013) no. 3. 775-799

  17. (with T. Tao ) "Nonlinear Fourier analysis" (from Park City Lecture Notes 2003) arxiv 1201.5129 ,

  18. (with M. Bateman ) "Lp estimates for the Hilbert transforms along a one variable vector field" arxiv 1109.6396 , Analysis and PDE 6 (2013) no 7. 1577-1600

  19. (with M. Reguera ) "The Hilbert transform does not map L1(Mw) to L{1,infty}(w)" Math. Res. Lett. 19 (2012), no. 1, 1--7. arxiv:1011.1767 ,

  20. (with Y. Do, C. Muscalu ) "Variational estimates for paraproducts" Rev. Mat. Iberoamericana 28 (2012), no. 3, 857--878. arxiv:1009.5187 ,

  21. (with R. Oberlin ) "New uniform bounds for a Walsh model of the bilinear Hilbert transform." arxiv:1004.4019 , Indiana Univ. Math. J. 60 (2011), no. 5, 1693–1712.

  22. (with F. Nazarov, R. Oberlin, ) "A Calderon Zygmund decomposition for multiple frequencies and an application to an extension of a lemma of Bourgain." Math. Res. Lett. 17 (2010), no. 3, 529--545. arxiv:0912.3010 ,

  23. (with R. Oberlin, A. Seeger, T. Tao, J. Wright ) "A variation norm Carleson theorem" J. Eur. Math. Soc. (JEMS) 14 (2012), no. 2, 421--464 arxiv:0910.1555 ,

  24. (with C. Demeter, M. Pramanik) "Multilinear singular operators with fractional rank" Pacific J. of Mathematics 246 (2010) no. 2, 293--324 arxiv:0904.1253 ,

  25. (with C. Demeter) "On the two dimensional Bilinear Hilbert Transform" Amer. J. Math. 132 (2010), no. 1, 201--256. arxiv:0803.1268 ,

  26. (with C. Demeter, M. Lacey, T. Tao ) "The Walsh model for M2* Carleson" Rev. Mat. Iberoam. 24 (2008), no. 3, 721--744. arxiv:0712.1295 ,

  27. (with C. Muscalu, T. Tao) "Multilinear operators associated to simplexes of arbitrary length" arxiv:0712.2420 , Advances in analysis: the legacy of Elias M. Stein, 346–401, Princeton Math. Ser., 50, Princeton Univ. Press, Princeton, NJ, 2014.

  28. (with A. Benyi, C. Demeter, A. Nahmod, R. Torres, F. Villarroya) "Modulation invariant bilinear T(1) theorem" J. Anal. Math. 109 (2009), 279--352. arxiv:0710.0973 ,

  29. "Applications of Time-frequency analysis in Ergodic Theory" Survey article for Oberwolfach meeting 2008 pdf file ,

  30. (with C. Demeter, M. Lacey, T. Tao) "Breaking the duality in the return times theorem." Duke Math. J. 143 (2008), no. 2, 281--355. math/0601455

  31. (with C. Demeter, T. Tao) "Maximal multilinear operators" Trans. Amer. Math. Soc. 360 (2008), no. 9, 4989--5042. math.CA/0518051

  32. (with D. Müller) "Wave equation and multiplier estimates on ax+b groups." Studia Math. 179 (2007), no. 2, 117--148. math.CA/0403476

  33. (with C. Muscalu, J. Pipher and T. Tao) "Multi-parameter paraproducts" Rev. Mat. Iberoam. 22 (2006), no. 3, 963--976. math.CA/0411607

  34. (with C. Muscalu and T. Tao) "The bi-Carleson operator" Geom. Funct. Anal. 16 (2006), no. 1, 230--277. math.CA/0409406

  35. "Wave Packet Analysis" CBMS Regional Conference Series in Mathematics, 105. Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2006. vi+86 pp. ISBN: 0-8218-3661-7

  36. (with M. Christ, X. Li and T. Tao) "On multilinear oscillatory integrals, nonsingular and singular." . Duke Math. J. 130 (2005), no. 2, 321--351. math.CA/0311039

  37. (with C. Muscalu J. Pipher, and T. Tao) "Bi-parameter paraproducts" Acta Math. 193 (2004), no. 2, 269--296. math.CA/0310367

  38. (with C. Muscalu and T. Tao) "Lp estimates for the biest. II. The Fourier case." Math. Ann. 329 (2004), no. 3, 427--461. math.CA/0205139

  39. (with C. Muscalu and T. Tao) "A Carleson type theorem for a Cantor group model of the scattering transform" Nonlinearity 16 (2003), no. 1, 219--246. math.CA/0205139

  40. (with P. Auscher, S. Hofmann, C. Muscalu, T. Tao) "Carleson measures, trees, extrapolation, and T(b) theorems" Publ. Mat. 46 (2002), no. 2, 257--325. math.CA/0108138

  41. "Singular integrals meet modulation invariance" Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 721--732, Higher Ed. Press, Beijing, 2002. pdf file , dvi file ,

  42. (with C. Muscalu and T. Tao) " A discrete model for the bi-Carleson operator. "
    Geom. Funct. Anal. 12 (2002), no. 6, 1324--1364. math.CA/0201060

  43. (with C. Muscalu and T. Tao) " Lp estimates for the biest I. The Walsh case"
    Math. Ann. 329 (2004), no. 3, 401--426. math.CA/0102083

  44. (with C. Muscalu and T. Tao) " Lp estimates for the biest II. The Fourier case"
    Math. Ann. 329 (2004), no. 3, 427--461. math.CA/0102084

  45. (with C. Muscalu and T. Tao) "A counterexample to a multilinear endpoint question of Christ and Kiselev" ,
    Math. Res. Lett. 10 (2003), no. 2-3, 237--246. math.CA/0108156
  46. (with C. Muscalu and T. Tao) "Uniform estimates on multi-linear operators with modulation symmetry. Dedicated to the memory of Tom Wolff." ,
    J. Anal. Math. 88 (2002), 255--309. math.CA/0107059
  47. (with C. Muscalu and T. Tao) "Uniform estimates on paraproducts. Dedicated to the memory of Thomas H. Wolff." ,
    J. Anal. Math. 87 (2002), 369--384. math.CA/0106092
  48. "Multilinear singular integrals" ,
    survey article El Escorial 2000, preprint Mar 2001, pdf file , dvi file ,

  49. "A uniform estimate",
    Ann. of Math. (2) 156 (2002), no. 2, 519--563.

  50. "A uniform estimate for the quartile operator",
    Rev. Mat. Iberoamericana 18 (2002), no. 1, 115--134.

  51. (with C. Muscalu and T. Tao) "Multi-linear operators given by singular multipliers",
    J. Amer. Math. Soc. 15 (2002), no. 2, 469--496 (electronic). math.CA/9910039
  52. (with D. Mueller), "Normal forms of involutive complex Hamiltonian matrices under the real symplectic group."
    J. Reine Angew. Math. 513 (1999), 97--114.

  53. (with M. Lacey) "A proof of boundedness of the Carleson operator"
    Revised June 2000 from previous "Convergence of Fourier series"
    ,
    Math.Res. Lett 7 (2000) 361-370

  54. "On the Bilinear Hilbert Transform",
    Habilitationsschrift, Universität Kiel, 1998 ps file

  55. "Time-Frequency Analysis in the Discrete Phase Plane",
    PhD thesis Yale 1995, ps file


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