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Conjugate system characterizations of $H^1$: Counter examples for the Euclidean plane and local fields


Authors: A. Gandulfo, J. Garcia-Cuerva and M. Taibleson
Journal: Bull. Amer. Math. Soc. 82 (1976), 83-85
MSC (1970): Primary 42A18, 42A40; Secondary 12B99, 46J15
DOI: https://doi.org/10.1090/S0002-9904-1976-13969-9
MathSciNet review: 0394014
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References [Enhancements On Off] (What's this?)

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  • 2. J.-A. Chao, Maximal singular integral transforms on local fields, Proc. Amer. Math. Soc. 50 (1975), 297-302. MR 374827
  • 3. J.-A. Chao and M. H. Taibleson, A sub-regularity inequality for conjugate systems on local fields, Studia Math. 46 (1973), 249-257. MR 49 #3459. MR 338695
  • 4. C. Fefferman, Symposium on Harmonic Analysis, De Paul Univ. Conf., 1974.
  • 5. C. Fefferman and E. M. Stein, H, Acta Math. 129 (1972), 137-193. MR 447953
  • 6. M. H. Taibleson, Fourier analysis on local fields, Math. Notes, no. 15, Princeton Univ. Press, Princeton, N.J., 1975. MR 487295

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DOI: https://doi.org/10.1090/S0002-9904-1976-13969-9

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