메뉴 건너뛰기




Volumn 504, Issue , 1998, Pages 195-226

Littlewood-Paley theory for functions with values in uniformly convex spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032221910     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1998.107     Document Type: Article
Times cited : (60)

References (30)
  • 1
    • 0000962545 scopus 로고    scopus 로고
    • Vector-valued analytic functions of bounded mean oscillation and geometry of Banach spaces, Ill
    • [B1]
    • [B1] O. Blasco, Vector-valued analytic functions of bounded mean oscillation and geometry of Banach spaces, Ill. J. Math. 41 (1997), 532-558.
    • (1997) J. Math. , vol.41 , pp. 532-558
    • Blasco, O.1
  • 3
    • 0000168130 scopus 로고
    • Hardy spaces of vector-valued functions: Duality
    • [B3]
    • [B3] O. Blasco, Hardy spaces of vector-valued functions: Duality, Trans. Amer. Math. Soc. 308 (1988), 495-507.
    • (1988) Trans. Amer. Math. Soc. , vol.308 , pp. 495-507
    • Blasco, O.1
  • 4
    • 0013511091 scopus 로고
    • Hardy classes of Banach-space-valued distributions
    • [BG]
    • [BG] O. Blasco, J. Garcia-Cuerva, Hardy classes of Banach-space-valued distributions, Math. Nachr. 132(1987), 57-65.
    • (1987) Math. Nachr. , vol.132 , pp. 57-65
    • Blasco, O.1    Garcia-Cuerva, J.2
  • 5
    • 0001441033 scopus 로고
    • Theorems of Hardy and Paley for vector-valued analytic functions and relatedclasses of Banach spaces
    • [BP]
    • [BP] O. Blasco, A. Pelczymki, Theorems of Hardy and Paley for vector-valued analytic functions and relatedclasses of Banach spaces, Trans. Amer. Math. Soc. 323 (1991), 335-367.
    • (1991) Trans. Amer. Math. Soc. , vol.323 , pp. 335-367
    • Blasco, O.1    Pelczymki, A.2
  • 6
    • 38149145377 scopus 로고
    • Interpolation between vector-valued Hardy spaces
    • [BX]
    • [BX] O. Blasco, Q. Xu, Interpolation between vector-valued Hardy spaces, J. Funct. Anal. 102 (1991), 331-359.
    • (1991) J. Funct. Anal. , vol.102 , pp. 331-359
    • Blasco, O.1    Xu, Q.2
  • 8
    • 0000156679 scopus 로고
    • Some remarks on Banach spaces in which martingale differences are unconditional
    • [Bo1]
    • [Bo1] J. Bourgain, Some remarks on Banach spaces in which martingale differences are unconditional, Ark. Mat. 21 (1983), 163-168.
    • (1983) Ark. Mat. , vol.21 , pp. 163-168
    • Bourgain, J.1
  • 9
    • 0002649230 scopus 로고
    • Extension of a result of Benedek, Calderón and Panzone
    • [Bo2]
    • [Bo2] J. Bourgain, Extension of a result of Benedek, Calderón and Panzone, Ark. Mat. 22 (1984), 91-95.
    • (1984) Ark. Mat. , vol.22 , pp. 91-95
    • Bourgain, J.1
  • 11
    • 0001669037 scopus 로고
    • A geometrical characterization of Banach spaces in which martingale differences areunconditional
    • [Bu1]
    • [Bu1] D. L. Burkholder, A geometrical characterization of Banach spaces in which martingale differences areunconditional, Ann. Prob. 9 (1981), 997-1011.
    • (1981) Ann. Prob. , vol.9 , pp. 997-1011
    • Burkholder, D.L.1
  • 12
    • 0002080063 scopus 로고
    • A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions
    • [Bu2], Wadsworth, Inc.
    • [Bu2] D. L. Burkholder, A geometric condition that implies the existence of certain singular integrals of Banach- space-valued functions, Conf. Harmonic Analysis in honor of A. Zygmund, Wadsworth, Inc. (1981), 270-286.
    • (1981) Conf. Harmonic Analysis in Honor of A. Zygmund , pp. 270-286
    • Burkholder, D.L.1
  • 15
    • 26244432274 scopus 로고
    • Random martingale transform inequalities
    • [Ga], Probability in Banach Spaces 6, Sandbjerg, Denmark, Birkhäuser
    • [Ga] D. J. H. Garling, Random martingale transform inequalities, Probability in Banach Spaces 6, Proc. ofthe Sixth International Conferences, Sandbjerg, Denmark 1986, Birkhäuser (1990), 101-119.
    • (1986) Proc. of the Sixth International Conferences , pp. 101-119
    • Garling, D.J.H.1
  • 17
    • 0013542506 scopus 로고    scopus 로고
    • A characterization of Hilbert spaces and the vector-valued Little wood-Paleytheorem
    • [HM]
    • [HM] Y.-S. Han, Y. Meyer, A characterization of Hilbert spaces and the vector-valued Littlewood-Paleytheorem, Meth. Appl. Anal. 3 (1996), 228-234.
    • (1996) Meth. Appl. Anal. , vol.3 , pp. 228-234
    • Han, Y.-S.1    Meyer, Y.2
  • 18
    • 0000927586 scopus 로고
    • Interpolation by real method between BMO, Lα (0 < α < ∞) and Hα (0 < α <∞)
    • [H]
    • [H] R. Hanks, Interpolation by real method between BMO, Lα (0 < α < ∞) and Hα (0 < α <∞), Ind. Univ. Math. J. 26 (1977), 679-690.
    • (1977) Ind. Univ. Math. J. , vol.26 , pp. 679-690
    • Hanks, R.1
  • 19
    • 0001024815 scopus 로고
    • Local sharp maximal functions
    • [JT]
    • [JT] B. Jawerth, A. Torchinsky, Local sharp maximal functions, J. Approx. Th. 43 (1985), 231-270.
    • (1985) J. Approx. Th. , vol.43 , pp. 231-270
    • Jawerth, B.1    Torchinsky, A.2
  • 21
    • 84968483670 scopus 로고
    • On Fourier multiplier transformations of Banach-space-valued functions
    • [M]
    • [M] T. McConnell, On Fourier multiplier transformations of Banach-space-valued functions, Trans. Amer.Math. Soc. 285 (1984), 739-757.
    • (1984) Trans. Amer. Math. Soc. , vol.285 , pp. 739-757
    • McConnell, T.1
  • 22
    • 51249189713 scopus 로고
    • Martingales with values in uniformly convex spaces
    • [P1]
    • [P1] G. Pisier, Martingales with values in uniformly convex spaces, Israel J. Math. 20 (1975), 326-350.
    • (1975) Israel J. Math. , vol.20 , pp. 326-350
    • Pisier, G.1
  • 23
    • 0001357908 scopus 로고
    • Probabilistic methods in the geometry of Banach spaces
    • [P2]
    • [P2] G. Pisier, Probabilistic methods in the geometry of Banach spaces, Springer Lect. Notes Math. 1206 (1986), 167-241.
    • (1986) Springer Lect. Notes Math. , vol.1206 , pp. 167-241
    • Pisier, G.1
  • 24
    • 38249011382 scopus 로고
    • Factorization of operator valued analytic functions
    • [P3]
    • [P3] G. Pisier, Factorization of operator valued analytic functions, Adv. Math. 93 (1992), 61-125.
    • (1992) Adv. Math. , vol.93 , pp. 61-125
    • Pisier, G.1
  • 25
    • 0001671364 scopus 로고
    • Martingale and integral transforms of Banach space valued functions
    • [R]
    • [R] J. L. Rubio de Francia, Martingale and integral transforms of Banach space valued functions, Springer Lect. Notes Math. 1221 (1986), 195-222.
    • (1986) Springer Lect. Notes Math. , vol.1221 , pp. 195-222
    • Rubio de Francia, J.L.1
  • 27
    • 0013478793 scopus 로고
    • Inégalités pour les martingales de Hardy et renormage des espaces quasi-normés
    • [X1]
    • [X1] Q. Xu, Inégalités pour les martingales de Hardy et renormage des espaces quasi-normés, C.R. Acad. Paris 306 (1988), 601-604.
    • (1988) C.R. Acad. Paris , vol.306 , pp. 601-604
    • Xu, Q.1
  • 28
    • 0013542507 scopus 로고
    • Applications du théorème de factorisation pour des fonctions à valeurs opérateurs
    • [X2]
    • [X2] Q. Xu, Applications du théorème de factorisation pour des fonctions à valeurs opérateurs, Stud. Math. 95 (1989), 273-291.
    • (1989) Stud. Math. , vol.95 , pp. 273-291
    • Xu, Q.1
  • 29
    • 0013511515 scopus 로고
    • Convexité uniforme et inégalités de martingales
    • [X3]
    • [X3] Q. Xu, Convexité uniforme et inégalités de martingales, Math. Ann. 287 (1990), 193-211.
    • (1990) Math. Ann. , vol.287 , pp. 193-211
    • Xu, Q.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.