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Volumn 13, Issue 2, 1997, Pages 319-360

Hilbert transform, Toeplitz operators and Hankel operators, and invariant A∞ weights

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EID: 0000169451     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/223     Document Type: Article
Times cited : (20)

References (27)
  • 2
    • 84966260263 scopus 로고
    • Estimates for operator norms on weighted spaces and reverse Jensen inequalities
    • Buckley, S., Estimates for operator norms on weighted spaces and reverse Jensen inequalities. Trans. Amer. Math. Soc. 340 (1993), 253-272.
    • (1993) Trans. Amer. Math. Soc. , vol.340 , pp. 253-272
    • Buckley, S.1
  • 3
    • 0000133815 scopus 로고
    • Weighted norm inequalities for maximal functions and singular integrals
    • Coifman, R. R., Fefferman, C., Weighted norm inequalities for maximal functions and singular integrals. Studia. Math. 51 (1974), 241-250.
    • (1974) Studia. Math. , vol.51 , pp. 241-250
    • Coifman, R.R.1    Fefferman, C.2
  • 4
    • 0000051682 scopus 로고
    • On the Helson-Szegö theorem and a related class of modified Toeplitz kernels, Harmonic analysis in Eucliden spaces
    • Cotlar, M., Sadosky, C., On the Helson-Szegö theorem and a related class of modified Toeplitz kernels, Harmonic analysis in Eucliden spaces. Proc. Symp. Pure Math. 35 (1979), 383-407.
    • (1979) Proc. Symp. Pure Math. , vol.35 , pp. 383-407
    • Cotlar, M.1    Sadosky, C.2
  • 6
    • 0002124204 scopus 로고
    • The invertibility of the product of unbounded Toeplitz operators
    • Cruz-Uribe, SFO D., The invertibility of the product of unbounded Toeplitz operators. Integral equations and operator theory 20 (1994), 231-237.
    • (1994) Integral Equations and Operator Theory , vol.20 , pp. 231-237
    • Cruz-Uribe, S.F.O.D.1
  • 7
    • 0002780973 scopus 로고
    • The theory of weights and the Dirichlet problem for elliptic equations
    • Fefferman, R., Kenig, C. F., Pipher, J., The theory of weights and the Dirichlet problem for elliptic equations. Ann of Math. 134 (1991), 65-124.
    • (1991) Ann of Math. , vol.134 , pp. 65-124
    • Fefferman, R.1    Kenig, C.F.2    Pipher, J.3
  • 8
    • 0013552746 scopus 로고
    • A condition for a two weight norm inequality for singular integral operators
    • Fujii, N., A condition for a two weight norm inequality for singular integral operators. Studia, Math. 98 (1991), 175-190.
    • (1991) Studia Math. , vol.98 , pp. 175-190
    • Fujii, N.1
  • 10
    • 0003604854 scopus 로고
    • Bounded analytic functions
    • Academic Press
    • Garnett, J. B., Bounded analytic functions. Pure and Applied Math. 96 Academic Press, 1981.
    • (1981) Pure and Applied Math. , vol.96
    • Garnett, J.B.1
  • 11
  • 12
    • 84968496736 scopus 로고
    • Weighted norm inequalities for the conjugate function and Hilbert transform
    • Hunt, R. A., Muckenhoupt, B., Wheeden, R. L., Weighted norm inequalities for the conjugate function and Hilbert transform. Trans. Amer. Math. Soc. 176 (1973), 227-251.
    • (1973) Trans. Amer. Math. Soc. , vol.176 , pp. 227-251
    • Hunt, R.A.1    Muckenhoupt, B.2    Wheeden, R.L.3
  • 14
    • 84886001543 scopus 로고
    • Weighted norm inequalities for the Hardy maximal function
    • Muckenhoupt, B., Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc. 165 (1972), 207-226.
    • (1972) Trans. Amer. Math. Soc. , vol.165 , pp. 207-226
    • Muckenhoupt, B.1
  • 15
    • 0011360006 scopus 로고
    • Weighted norm inequalities for classical operators
    • Muckenhoupt, B., Weighted norm inequalities for classical operators. Proc. Symp. Pure Math. 35 (1979), 69-83.
    • (1979) Proc. Symp. Pure Math. , vol.35 , pp. 69-83
    • Muckenhoupt, B.1
  • 16
    • 0001359547 scopus 로고
    • Two weight function norms inequality for the hardy-littlewood maximal function and the Hilbert transform
    • Muckenhoupt, B., Wheeden, R., Two weight function norms inequality for the Hardy-Littlewood maximal function and the Hilbert transform. Studia Math. 55 (1976), 279-294.
    • (1976) Studia Math. , vol.55 , pp. 279-294
    • Muckenhoupt, B.1    Wheeden, R.2
  • 19
    • 0003126332 scopus 로고
    • p-spaces with different weights
    • p-spaces with different weights. Proc. London Math. Soc. 71 (1995), 135-157.
    • (1995) Proc. London Math. Soc. , vol.71 , pp. 135-157
    • Pérez, C.1
  • 20
    • 0001777030 scopus 로고
    • Products of Toeplitz operators
    • Book 3, Part I. Ed. V.P. Havin and N.K. Nikolskii. Lecture Notes Math. Springer-Verlag
    • Sarason, D., Products of Toeplitz operators. In: Linear and Complex Analysis Problem, Book 3, Part I. Ed. V.P. Havin and N.K. Nikolskii. Lecture Notes Math. 1573 (1994), 318-319, Springer-Verlag.
    • (1994) Linear and Complex Analysis Problem , vol.1573 , pp. 318-319
    • Sarason, D.1
  • 21
    • 0002060605 scopus 로고
    • A characterization of a two-weight norm inequality for maximal operators
    • Sawyer, E. T., A characterization of a two-weight norm inequality for maximal operators. Studia Math. 75 (1982), 1-11.
    • (1982) Studia Math. , vol.75 , pp. 1-11
    • Sawyer, E.T.1
  • 22
    • 0007503977 scopus 로고
    • Norm inequalities relating singular integrals and the maximal function
    • Sawyer, E. T., Norm inequalities relating singular integrals and the maximal function. Studia Math. 76 (1983), 253-263.
    • (1983) Studia Math. , vol.76 , pp. 253-263
    • Sawyer, E.T.1
  • 23
    • 0000444043 scopus 로고
    • Weighted inequalities for fractional integrals on euclidean and homogeneous spaces
    • Sawyer, E. T., Wheeden, R. L., Weighted inequalities for fractional integrals on Euclidean and homogeneous spaces. Amer. J. Math. 114 (1992), 813-874.
    • (1992) Amer. J. Math. , vol.114 , pp. 813-874
    • Sawyer, E.T.1    Wheeden, R.L.2
  • 24
    • 0038720259 scopus 로고
    • Non-equivalence between two kinds of conditions on weight functions. Harmonic analysis in Eucliden spaces
    • Strömberg, J. -O., Non-equivalence between two kinds of conditions on weight functions. Harmonic analysis in Eucliden spaces. Proc. Symp. Pure Math. 35 (1979), 141-148.
    • (1979) Proc. Symp. Pure Math. , vol.35 , pp. 141-148
    • Strömberg, J.-O.1
  • 25
    • 4243842920 scopus 로고
    • A simple proof of the Hunt-Muckenhoupt-Wheeden theorem
    • Treil, S., Volberg, A., A simple proof of the Hunt-Muckenhoupt-Wheeden theorem. Algebra i Analiz 7 (1995), 205-226.
    • (1995) Algebra i Analiz , vol.7 , pp. 205-226
    • Treil, S.1    Volberg, A.2
  • 27
    • 0030585647 scopus 로고    scopus 로고
    • The distribution function inequality and products of Toeplitz operators and Hankel operators
    • Zheng, D., The distribution function inequality and products of Toeplitz operators and Hankel operators. J. Funct. Anal. 138 (1996), 477-501.
    • (1996) J. Funct. Anal. , vol.138 , pp. 477-501
    • Zheng, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.