메뉴 건너뛰기




Volumn 6, Issue 3-4, 1999, Pages 417-427

Sharp two-weight, weak-type norm inequalities for singular integral operators

Author keywords

Calder n Zygmund operators; Maximal operators; Orlicz spaces; Singular integral operators; Weights

Indexed keywords


EID: 0033245893     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.1999.v6.n4.a4     Document Type: Article
Times cited : (54)

References (21)
  • 1
    • 0003357801 scopus 로고
    • Interpolation of operators
    • Academic Press, Inc., Boston, MA
    • [1] C. Bennett and R. Sharpley, Interpolation of operators, Pure and Applied Mathematics, 129, Academic Press, Inc., Boston, MA, 1988.
    • (1988) Pure and Applied Mathematics , vol.129
    • Bennett, C.1    Sharpley, R.2
  • 2
    • 0002913201 scopus 로고    scopus 로고
    • Composition of maximal operators
    • [2] M. Carozza and A. Passarelli di Napoli, Composition of maximal operators, Publ. Mat. 40 (1996), 397-409.
    • (1996) Publ. Mat. , vol.40 , pp. 397-409
    • Carozza, M.1    Passarelli Di Napoli, A.2
  • 3
    • 0003253510 scopus 로고
    • Lectures on singular integral operators
    • Amer. Math. Soc., Providence, R.I.
    • [3] M. Christ, Lectures on singular integral operators, CBMS Regional Conference Series in Mathematics, 77, Amer. Math. Soc., Providence, R.I., 1990.
    • (1990) CBMS Regional Conference Series in Mathematics , vol.77
    • Christ, M.1
  • 4
    • 0001923237 scopus 로고
    • Au delà des opérateurs pseudo-différentiels
    • [4] R. Coifman and Y. Meyer, Au delà des opérateurs pseudo-différentiels, Astérisque 57 (1979), 1-84.
    • (1979) Astérisque , vol.57 , pp. 1-84
    • Coifman, R.1    Meyer, Y.2
  • 6
    • 0000361611 scopus 로고
    • Some maximal inequalities
    • [6] C. Fefferman and E.M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115.
    • (1971) Amer. J. Math. , vol.93 , pp. 107-115
    • Fefferman, C.1    Stein, E.M.2
  • 8
    • 84968496736 scopus 로고
    • Weighted norm inequalities for the conjugate function and Hilbert transform
    • [8] R. Hunt, B. Muckenhoupt and R. Wheeden, Weighted norm inequalities for the conjugate function and Hilbert transform, Trans. Amer. Math. Soc. 176 (1973), 227-252.
    • (1973) Trans. Amer. Math. Soc. , vol.176 , pp. 227-252
    • Hunt, R.1    Muckenhoupt, B.2    Wheeden, R.3
  • 9
    • 1842780738 scopus 로고
    • Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderön
    • Springer-Verlag, New York
    • [9] J.-L. Journé, Zygmund operators, pseudo-differential operators and the Cauchy integral of Calderön, Lecture Notes in Mathematics, 994, Springer-Verlag, New York, 1983.
    • (1983) Lecture Notes in Mathematics , vol.994
    • Journé, J.-L.1
  • 11
    • 0009096751 scopus 로고    scopus 로고
    • private communication
    • [11] B. Muckenhoupt, private communication.
    • Muckenhoupt, B.1
  • 12
    • 0001359547 scopus 로고
    • Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform
    • [12] B. Muckenhoupt and R. Wheeden, Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform, Studia Math. 60 (1976), 279-294.
    • (1976) Studia Math. , vol.60 , pp. 279-294
    • Muckenhoupt, B.1    Wheeden, R.2
  • 14
    • 0001460959 scopus 로고
    • Fractional integration in Orlicz spaces
    • [14] R. O'Neil, Fractional integration in Orlicz spaces, Trans. Amer. Math. Soc. 115 (1965), 300-328.
    • (1965) Trans. Amer. Math. Soc. , vol.115 , pp. 300-328
    • O'Neil, R.1
  • 15
    • 51649181695 scopus 로고
    • p,q spaces
    • p,q spaces, J. Analyse Math. 21 (1968), 1-276.
    • (1968) J. Analyse Math. , vol.21 , pp. 1-276
  • 16
    • 84962994140 scopus 로고
    • Weighted norm inequalities for singular integral operators
    • [16] C. Pérez, Weighted norm inequalities for singular integral operators, J. London Math. Soc. 49 (1994), 296-308.
    • (1994) J. London Math. Soc. , vol.49 , pp. 296-308
    • Pérez, C.1
  • 17
    • 0000108811 scopus 로고
    • Two weighted inequalities for potential and fractional type maximal operators
    • [17] -, Two weighted inequalities for potential and fractional type maximal operators, Indiana Univ. Math. J. 43 (1994), 663-683.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 663-683
  • 18
    • 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
  • 20
    • 0002540844 scopus 로고
    • Note on the class L log L
    • [20] E.M. Stein, Note on the class L log L, Studia Math. 32 (1969), 305-310.
    • (1969) Studia Math. , vol.32 , pp. 305-310
    • Stein, E.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.