Bmo for nondoubling measures

Duke Mathematical Journal

Volumn 102, Issue 3, 2000, Pages 533-565

  Mateu, J ^a   Mattila, P ^b   Nicolau, A ^a   Orobitg, J ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034178653     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-00-10238-4     Document Type: Article

References (12)

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3. J. B. Garnett and P. Jones, The distance in BMO to L™, Ann. of Math. (2) 108 (1978), 373-393.
4. M. de Guzmán, Differentiation of Integrals in R", Lecture Notes in Math. 481, Springer, Berlin, 1975.
5. J.-L. Journé, Calderón-Zygmund Operators, Pseudodifferential Operators and the Cauchy Integral of Calderón, Lecture Notes in Math. 994, Springer, Berlin, 1983.
6. P. MacManus and C. Perez, Trudinger inequalities without derivatives, preprint.
7. P. Mattila, GeometryofSets andMeasures in Euclidean Spaces: Fractals andRectifiability, Cambridge Stud. Adv. Math. 44, Cambridge Univ. Press, Cambridge, 1995.
8. F. Nazarov, S. Treil, and A. Volberg, Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces, Internat. Math. Res. Notices 1997, 703-726.
9. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Ser. 30, Princeton Univ. Press, Princeton, 1970.
10. 2 -boundedness of the Cauchy integral operator for continuous measures, Duke Math. J. 98 (1999), 269-304.
11. J. Verdera, On the T(1)-theorem for the Cauchy integral, to appear in Ark. Mat.
12. I. Wik, On John andNirenberg's theorem, Ark. Mat. 28 (1990), 193-200.