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The characterization of functions arising as potentials. II


Author: E. M. Stein
Journal: Bull. Amer. Math. Soc. 68 (1962), 577-582
DOI: https://doi.org/10.1090/S0002-9904-1962-10856-8
Part I: Bull. Amer. Math. Soc., Volume 67, Number 1 (1961), 102--104
MathSciNet review: 0142980
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References | Additional Information

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  • 1. N. Aronszajn and K. T. Smith, Theory of Bessel potentials. I, Ann. Inst. Fourier 11 (1961), 385-475. (Reference [1] in paper [7] below. MR 143935
  • 2. A. P. Calderon, Lebesgue spaces of functions and distributions, Proc. Sympos. Pure Math. Vol. 4, pp. 33-49, Amer. Math. Soc., Providence, R. I., 1961. (Reference [2 ] in paper [7 ] below. MR 143037
  • 3. E. Gagliardo, Caratterizzazioni delle trace sulla frontiera relative ad alcune classi di funzioni in n variabili, Rend. Sem. Mat. Univ. Padova 27 (1957), 284-305. MR 102739
  • 4. G. H. Hardy, J. E. Littlewood and G. Pólya, Inequalities, Cambridge, 1934. MR 46395
  • 5. I. I. Hirschman, Fractional integration, Amer. J. Math. 75 (1953), 531-546. MR 56730
  • 6. L. N. Slobodetzky, Dokl. Akad. Nauk SSSR 118 (1958), 243-246; 120 (1958), 468-471. (Russian) MR 106326
  • 7. E. M. Stein, The characterization of functions arising as potentials, Bull. Amer. Math. Soc. 67 (1961), 102-104. MR 123729
  • 8. E. M. Stein and G. Weiss, Fractional integrals on n-dimensional Euclidean space, J. Math. Mech. 7 (1958), 503-514. MR 98285
  • 9. M. Taibleson, Smoothness and differentiability conditions for functions and distributions in E, Dissertation, University of Chicago, 1962.


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DOI: https://doi.org/10.1090/S0002-9904-1962-10856-8

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