메뉴 건너뛰기




Volumn 77, Issue 2, 2004, Pages 175-184

Operator-valued multiplier theorems characterizing Hilbert spaces

Author keywords

Hubert space and Rademacher boundedness; Operator valued Fourier multiplier

Indexed keywords


EID: 10244246724     PISSN: 14467887     EISSN: None     Source Type: Journal    
DOI: 10.1017/s1446788700013550     Document Type: Article
Times cited : (8)

References (19)
  • 1
    • 0001871487 scopus 로고    scopus 로고
    • Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications
    • H. Amann, 'Operator-valued Fourier multipliers, vector-valued Besov spaces, and applications', Math. Nachr. 186 (1997), 5-56.
    • (1997) Math. Nachr. , vol.186 , pp. 5-56
    • Amann, H.1
  • 2
    • 1842479599 scopus 로고    scopus 로고
    • Fourier multipliers for Hölder continuous functions and maximal regularity
    • W. Arendt, C. Batty and S. Bu, 'Fourier multipliers for Hölder continuous functions and maximal regularity', Studia Math. 160 (2004), 23-51.
    • (2004) Studia Math. , vol.160 , pp. 23-51
    • Arendt, W.1    Batty, C.2    Bu, S.3
  • 3
    • 0036628277 scopus 로고    scopus 로고
    • The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
    • W. Arendt and S. Bu, 'The operator-valued Marcinkiewicz multiplier theorem and maximal regularity', Math. Z. 240 (2002), 311-343.
    • (2002) Math. Z. , vol.240 , pp. 311-343
    • Arendt, W.1    Bu, S.2
  • 4
    • 0002072217 scopus 로고
    • Spectral decompositions and harmonic analysis on UMD-spaces
    • E. Berkson and T. A. Gillespie, 'Spectral decompositions and harmonic analysis on UMD-spaces', Studia Math. 112 (1994), 13-49.
    • (1994) Studia Math. , vol.112 , pp. 13-49
    • Berkson, E.1    Gillespie, T.A.2
  • 5
    • 0001649612 scopus 로고    scopus 로고
    • Maximal regularity of discrete and continuous time evolution equations
    • S. Blunck, 'Maximal regularity of discrete and continuous time evolution equations', Studia Math. 146(2001), 157-163.
    • (2001) Studia Math. , vol.146 , pp. 157-163
    • Blunck, S.1
  • 7
    • 0002080063 scopus 로고
    • A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions
    • Wadsworth Publishers, Belmont, CA
    • D. Burkholder, 'A geometric condition that implies the existence of certain singular integrals of Banach-space-valued functions', in: Proc. of Conf. on Harmonic Analysis in Honor of Antoni Zygmund, Chicago 1981 (Wadsworth Publishers, Belmont, CA, 1983) pp. 270-286.
    • (1983) Proc. of Conf. on Harmonic Analysis in Honor of Antoni Zygmund, Chicago 1981 , pp. 270-286
    • Burkholder, D.1
  • 10
    • 0242287337 scopus 로고    scopus 로고
    • R-boundedness, Fourier multipliers and problems of elliptic and parabolic type
    • Amer. Math. Soc., Providence
    • R. Denk, M. Hieber and J. Prüss, 'R-boundedness, Fourier multipliers and problems of elliptic and parabolic type', Mem. Amer. Math. Soc. 166 (Amer. Math. Soc., Providence, 2003), p. 788.
    • (2003) Mem. Amer. Math. Soc. , vol.166 , pp. 788
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 11
    • 0037235531 scopus 로고    scopus 로고
    • Operator-valued Fourier multiplier theorems on Besov spaces
    • M. Girardi and L. Weis, 'Operator-valued Fourier multiplier theorems on Besov spaces', Math. Nachr. 251 (2003), 34-51.
    • (2003) Math. Nachr. , vol.251 , pp. 34-51
    • Girardi, M.1    Weis, L.2
  • 13
    • 0036017128 scopus 로고    scopus 로고
    • p -maximal regularity on Banach spaces with a Schauder basis
    • p -maximal regularity on Banach spaces with a Schauder basis', Arch. Math. (Basel) 78 (2002), 397-408.
    • (2002) Arch. Math. (Basel) , vol.78 , pp. 397-408
  • 18
    • 0035629005 scopus 로고    scopus 로고
    • p-regularity
    • p-regularity', Math. Ann. 319 (2001), 735-758.
    • (2001) Math. Ann. , vol.319 , pp. 735-758
    • Weis, L.1
  • 19
    • 0000324741 scopus 로고
    • On vector-valued Fourier multiplier theorems
    • F. Zimmermann, 'On vector-valued Fourier multiplier theorems', Studia Math. 93 (1989), 201-222.
    • (1989) Studia Math. , vol.93 , pp. 201-222
    • Zimmermann, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.