Bibliography
Burkholder, D. L. andGundy, R. F.,Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math.124 (1970), 249–304.
Calderon, A. P.,An atomic decomposition of distributions in parabolic H o spaces, Advances in Math.25 (1977), 216–225.
Calderon, A. P. andTorchinsky, A.,Parabolic maximal functions associated with a distribution, I, II, Advances in Math.16 (1975), 1–64; ibidCalderon, A. P. andTorchinsky, A.,Parabolic maximal functions associated with a distribution, I, II, Advances in Math24 (1977), 101–171.
Chang, S.-Y. A. andFefferman, R.,A continuous version of duality of H 1 with BMO on the bidisc, Ann. Math.112 (1980), 179–201.
Chanillo, S., to appear.
Chung, K. L.,A course in probability theory, 2nd edition, Academic Press, 1974.
Coifman, R. R., Meyer, Y. andStein, E.,Un nouvel espace fonctionnel adapté a l'étude des opérateurs définie par des intégrales singulieres, preprint 1983.
Fefferman, C.,The uncertainty principle, Bull. Amer. Math. Soc., Sept. 1983.
Garnett, J. andJones, P.,The distance in BMO to L ∞, Ann. Math.108 (1978), 373–393.
Janson, S., private communication.
Jones, P., private communication.
Kerman, R. andSawyer, E.,Weighted norm inequalities of trace type for potential operators, preprint 1983.
Klaus, M. andSimon, B.,Coupling constant thresholds in non-relativistic quantum mechanics, I. Short-range, two-body case, Ann. Phys. (N.Y.)130 (1980), 251–281.
Meyers, N.,Mean oscillation over cubes and Holder continuity, Proc. Amer. Math. Soc.15 (1964), 717–721.
Neveu, J.,Discrete parameter Martingales, translated by T. P. Speed. Amsterdam, North Holland, New York 1975.
Simon, B.,The bound state of weakly coupled Schrödinger operators in one and two dimensions, Ann. Phys. (N.Y.)97 (1976), 279–288.
Trudinger, N.,On imbedding into Orlicz spaces and some applications, J. Math. Mech.17 (1967), 473–484.
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Chang, S.Y.A., Wilson, J.M. & Wolff, T.H. Some weighted norm inequalities concerning the schrödinger operators. Commentarii Mathematici Helvetici 60, 217–246 (1985). https://doi.org/10.1007/BF02567411
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DOI: https://doi.org/10.1007/BF02567411