A remark on a paper by C. Fefferman: “The uncertainty principle” [Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206; MR0707957 (85f:35001)]

A remark on a paper by C. Fefferman: “The uncertainty principle” [Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206; MR0707957 (85f:35001)]
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Proc. Amer. Math. Soc. 108 (1990), 407-409

DOI: https://doi.org/10.1090/S0002-9939-1990-1027825-X

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We give a simplified proof of an imbedding theorem by C. Fefferman [3].

References

S.-Y. A. Chang, J. M. Wilson, and T. H. Wolff, Some weighted norm inequalities concerning the Schrödinger operators, Comment. Math. Helv. 60 (1985), no. 2, 217–246. MR 800004, DOI 10.1007/BF02567411
Filippo Chiarenza and Michele Frasca, Morrey spaces and Hardy-Littlewood maximal function, Rend. Mat. Appl. (7) 7 (1987), no. 3-4, 273–279 (1988). MR 985999
Charles L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206. MR 707957, DOI 10.1090/S0273-0979-1983-15154-6
C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107–115. MR 284802, DOI 10.2307/2373450
José García-Cuerva and José L. Rubio de Francia, Weighted norm inequalities and related topics, North-Holland Mathematics Studies, vol. 116, North-Holland Publishing Co., Amsterdam, 1985. Notas de Matemática [Mathematical Notes], 104. MR 807149
Lars Inge Hedberg, On certain convolution inequalities, Proc. Amer. Math. Soc. 36 (1972), 505–510. MR 312232, DOI 10.1090/S0002-9939-1972-0312232-4