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Volumn 12, Issue 6, 2002, Pages 1324-1364

A discrete model for the bi-Carleson operator

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EID: 0036994348     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00039-002-1324-0     Document Type: Article
Times cited : (8)

References (26)
  • 1
    • 0013204880 scopus 로고    scopus 로고
    • Carleson measures, trees, extrapolation and T(b) theorems
    • [AHMTT] submitted
    • [AHMTT] P. AUSCHER, S. HOFMANN, C. MUSCALU, T. TAO, C. THIELE, Carleson measures, trees, extrapolation and T(b) theorems, Publ. Mat. (2001), submitted.
    • (2001) Publ. Mat.
    • Auscher, P.1    Hofmann, S.2    Muscalu, C.3    Tao, T.4    Thiele, C.5
  • 3
    • 0001498106 scopus 로고
    • On convergence and growth of partial sums of Fourier series
    • [C]
    • [C] L. CARLESON, On convergence and growth of partial sums of Fourier series, Acta Math. 116 (1966), 135-157.
    • (1966) Acta Math. , vol.116 , pp. 135-157
    • Carleson, L.1
  • 4
    • 0035255585 scopus 로고    scopus 로고
    • WKB asymptotics of generalized eigenfunctions of one-dimensional Schrödinger operators
    • [ChK1]
    • [ChK1] M. CHRIST, A. KISELEV, WKB asymptotics of generalized eigenfunctions of one-dimensional Schrödinger operators, J. Funct. Anal. 179 (2001), 426-447.
    • (2001) J. Funct. Anal. , vol.179 , pp. 426-447
    • Christ, M.1    Kiselev, A.2
  • 5
    • 0035255579 scopus 로고    scopus 로고
    • Maximal functions associated with filtrations
    • [Chk2]
    • [Chk2] M. CHRIST, A. KISELEV, Maximal functions associated with filtrations, J. Funct. Anal. 179 (2001), 409-425.
    • (2001) J. Funct. Anal. , vol.179 , pp. 409-425
    • Christ, M.1    Kiselev, A.2
  • 6
    • 0035531899 scopus 로고    scopus 로고
    • WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potential
    • [Chk3]
    • [Chk3] M. CHRIST, A. KISELEV, WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potential, Comm. Math. Phys. 2 (2001), 245-262.
    • (2001) Comm. Math. Phys. , vol.2 , pp. 245-262
    • Christ, M.1    Kiselev, A.2
  • 7
    • 0001600645 scopus 로고
    • Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis of Lipschitz curves
    • [CoM] Euclidean Harmonic Analysis (Proc. Sem., Univ. Maryland, College Park, Md.)
    • [CoM] R.R. COIFMAN, Y. MEYER, Fourier analysis of multilinear convolutions, Calderón's theorem, and analysis of Lipschitz curves, Euclidean Harmonic Analysis (Proc. Sem., Univ. Maryland, College Park, Md.), Lecture Notes in Math. 779 (1979), 104-122.
    • (1979) Lecture Notes in Math. , vol.779 , pp. 104-122
    • Coifman, R.R.1    Meyer, Y.2
  • 8
    • 85038522291 scopus 로고    scopus 로고
    • On the absolute continuous spectrum of one-dimensional Schrödinger operators with square summable potential
    • [DK]
    • [DK] P. DEIFT, R. KILLIP, On the absolute continuous spectrum of one-dimensional Schrödinger operators with square summable potential, Comm. Math. Phys. 212:1 (2000), 191-204.
    • (2000) Comm. Math. Phys. , vol.212 , Issue.1 , pp. 191-204
    • Deift, P.1    Killip, R.2
  • 9
    • 0000153472 scopus 로고
    • Pointwise convergence of Fourier series
    • [F]
    • [F] C. FEFFERMAN, Pointwise convergence of Fourier series, Ann. of Math. (2) 98, (1973), 551-571.
    • (1973) Ann. of Math. (2) , vol.98 , pp. 551-571
    • Fefferman, C.1
  • 10
    • 0003031805 scopus 로고
    • On the convergence of Fourier series
    • [H]
    • [H] R.A. HUNT, On the convergence of Fourier series, Proc. Conf. Ed- wardsville, (1967), 235-255.
    • (1967) Proc. Conf. Ed- Wardsville , pp. 235-255
    • Hunt, R.A.1
  • 11
    • 0001170004 scopus 로고
    • On interpolation of multilinear operators
    • "Function Spaces and Applications" (Cwickel, Peetre, Sager and Wallin, eds.), Proceedings Lund 1986
    • [J] S. JANSON, On interpolation of multilinear operators, in "Function Spaces and Applications" (Cwickel, Peetre, Sager and Wallin, eds.), Proceedings Lund 1986, Springer LNM 1302 (1988), 290-302.
    • (1988) Springer LNM , vol.1302 , pp. 290-302
    • Janson, S.1
  • 12
    • 0002388738 scopus 로고    scopus 로고
    • Modified Prüfer and EFGP transformations and the spectral analysis of one-dimensional Schrödinger operators
    • [KLS]
    • [KLS] A. KISELEV, Y. LAST, B. SIMON, Modified Prüfer and EFGP transformations and the spectral analysis of one-dimensional Schrödinger operators, Comm. Math. Phys. 194 (1998), 1-45.
    • (1998) Comm. Math. Phys. , vol.194 , pp. 1-45
    • Kiselev, A.1    Last, Y.2    Simon, B.3
  • 13
    • 0034344809 scopus 로고    scopus 로고
    • p for 2/3 < p < 1
    • [L]
    • p for 2/3 < p < 1, Ann. Math. 151 (2000), 35-57.
    • (2000) Ann. Math. , vol.151 , pp. 35-57
    • Lacey, M.1
  • 14
    • 0001283252 scopus 로고    scopus 로고
    • p estimates on the bilinear Hubert transform for 2 < p < ∞
    • [LT1]
    • p estimates on the bilinear Hubert transform for 2 < p < ∞, Ann. Math. 146, (1997), 693-724.
    • (1997) Ann. Math. , vol.146 , pp. 693-724
    • Lacey, M.1    Thiele, C.2
  • 15
    • 0033416840 scopus 로고    scopus 로고
    • On Calderon's conjecture
    • [LT2]
    • [LT2] M. LACEY, C. THIELE, On Calderon's conjecture, Ann. Math. 149 (1999), 475-496.
    • (1999) Ann. Math. , vol.149 , pp. 475-496
    • Lacey, M.1    Thiele, C.2
  • 16
    • 0034348701 scopus 로고    scopus 로고
    • A proof of boundedness of Carleson operator
    • [LT3]
    • [LT3] M. LACEY, C. THIELE, A proof of boundedness of Carleson operator, Math. Res. Lett. 7:4 (2000), 361-370.
    • (2000) Math. Res. Lett. , vol.7 , Issue.4 , pp. 361-370
    • Lacey, M.1    Thiele, C.2
  • 17
    • 0036004363 scopus 로고    scopus 로고
    • Multilinear operators given by singular multipliers
    • [MTT1]
    • [MTT1] C. MUSCALU, T. TAO, C. THIELE, Multilinear operators given by singular multipliers, J. Amer. Math. Soc. 15:2 (2002), 469-496.
    • (2002) J. Amer. Math. Soc. , vol.15 , Issue.2 , pp. 469-496
    • Muscalu, C.1    Tao, T.2    Thiele, C.3
  • 21
    • 85038500524 scopus 로고    scopus 로고
    • A counterexample to a multilinear endpoint question of Christ and Kiselev
    • [MTT5] to appear
    • [MTT5] C. MUSCALU, T. TAO, C. THIELE, A counterexample to a multilinear endpoint question of Christ and Kiselev, Math. Res. Lett., to appear.
    • Math. Res. Lett.
    • Muscalu, C.1    Tao, T.2    Thiele, C.3
  • 22
    • 84950356985 scopus 로고
    • An inequality of Paley and convergence a.e. of Walsh Fourier series
    • [S]
    • [S] P. SJÖLIN, An inequality of Paley and convergence a.e. of Walsh Fourier series, Ark. Math. 7:42 (1968), 551-570.
    • (1968) Ark. Math. , vol.7 , Issue.42 , pp. 551-570
    • Sjölin, P.1
  • 24
    • 0013252957 scopus 로고
    • [T1] Ph.D. Thesis, Yale University
    • [T1] C. THIELE, Ph.D. Thesis, Yale University, 1995.
    • (1995)
    • Thiele, C.1
  • 25
    • 23044523527 scopus 로고    scopus 로고
    • The quartile operator and pointwise convergence of Walsh series
    • [T2]
    • [T2] C. THIELE, The quartile operator and pointwise convergence of Walsh series, Trans. Amer. Math. Soc. 352:12 (2000), 5745-5766.
    • (2000) Trans. Amer. Math. Soc. , vol.352 , Issue.12 , pp. 5745-5766
    • Thiele, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.