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Applications of the theory of Hardy spaces to harmonic analysis on the Heisenberg group

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References

  1. Coifman, R.R., Weiss, G.: Analyse harmonique non-commutative sur certains espaces homogenes. Lect. Notes Math., Vol. 242. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  2. de Michele, L., Maurceri, G.: Multipliers on the Heisenberg group. Mich. Math. J.26, 361–371 (1979)

    Google Scholar 

  3. Folland, G.B., Stein, E.M.: Hardy spaces on homogeneous groups. Princeton, Princeton University Press 1982

    Google Scholar 

  4. Geller, D.: Fourier analysis on the Heisenberg group. Proc. Nat. Acad. Sci. USA74, 1328–1331 (1977)

    Google Scholar 

  5. Geller, D.: Fourier analysis on the Heisenberg group. Ph.D. thesis, Princeton Univ. 1977

  6. Hemler, M.L.: The molecular theory ofH p, q, s(ℍn), Ph.D. thesis. Washington Univ., St. Louis, 1980

    Google Scholar 

  7. Herz, C.: Lipschitz spaces and Bernstein's theorem on absolutely covergent Fourier transforms. J. Math. Mech.18, 523–533 (1968)

    Google Scholar 

  8. Inglis, I.R.: Weak and strong mapping properties of translation invariant operators. Boll. Un. Mat. Ital. 1-B6, 523–533 (1982)

    Google Scholar 

  9. Krantz, S.G.: Analysis on the Heisenberg group and estimates for functions in Hardy classes of several complex variables. Math. Ann.244, 243–262 (1979)

    Google Scholar 

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Inglis, I.R. Applications of the theory of Hardy spaces to harmonic analysis on the Heisenberg group. Math. Ann. 271, 111–119 (1985). https://doi.org/10.1007/BF01455799

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