On the Carleson measure characterization of BMO functions on the unit sphere
HTML articles powered by AMS MathViewer
- by Miroljub Jevtić PDF
- Proc. Amer. Math. Soc. 123 (1995), 3371-3377 Request permission
Abstract:
A higher dimensional version of the well-known Carleson measure characterization of BMO functions is given.References
- Patrick Ahern and Carmen Cascante, Exceptional sets for Poisson integrals of potentials on the unit sphere in $\textbf {C}^n,\;p\leq 1$, Pacific J. Math. 153 (1992), no. 1, 1–13. MR 1145912, DOI 10.2140/pjm.1992.153.1
- Albert Baernstein II, Analytic functions of bounded mean oscillation, Aspects of contemporary complex analysis (Proc. NATO Adv. Study Inst., Univ. Durham, Durham, 1979) Academic Press, London-New York, 1980, pp. 3–36. MR 623463
- Jun Soo Choa and Boo Rim Choe, A Littlewood-Paley type identity and a characterization of BMOA, Complex Variables Theory Appl. 17 (1991), no. 1-2, 15–23. MR 1123798, DOI 10.1080/17476939108814490
- C. Fefferman and E. M. Stein, $H^{p}$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137–193. MR 447953, DOI 10.1007/BF02392215
- Miroljub Jevtić, A note on the Carleson measure characterization of BMOA functions on the unit ball, Complex Variables Theory Appl. 17 (1992), no. 3-4, 189–194. MR 1147049, DOI 10.1080/17476939208814511
- Miroljub Jevtić, On the Carleson measure characterization of BMOA functions on the unit ball, Proc. Amer. Math. Soc. 114 (1992), no. 2, 379–386. MR 1072341, DOI 10.1090/S0002-9939-1992-1072341-4
- Miroljub Jevtić and Miroslav Pavlović, On $\scr M$-harmonic Bloch space, Proc. Amer. Math. Soc. 123 (1995), no. 5, 1385–1392. MR 1264815, DOI 10.1090/S0002-9939-1995-1264815-0
- Miroslav Pavlović, Inequalities for the gradient of eigenfunctions of the invariant Laplacian in the unit ball, Indag. Math. (N.S.) 2 (1991), no. 1, 89–98. MR 1104834, DOI 10.1016/0019-3577(91)90044-8
- Walter Rudin, Function theory in the unit ball of $\textbf {C}^{n}$, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 241, Springer-Verlag, New York-Berlin, 1980. MR 601594, DOI 10.1007/978-1-4613-8098-6
- Ke He Zhu, Operator theory in function spaces, Monographs and Textbooks in Pure and Applied Mathematics, vol. 139, Marcel Dekker, Inc., New York, 1990. MR 1074007
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3371-3377
- MSC: Primary 32A37
- DOI: https://doi.org/10.1090/S0002-9939-1995-1301505-X
- MathSciNet review: 1301505