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Some recent developments in fourier analysis and HP theory on product domains — II

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1302)

Keywords

  • Product Space
  • Atomic Decomposition
  • Dyadic Interval
  • Weighted Inequality
  • Zygmund Operator

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References

  1. S.Y.A. Chang and R. Fefferman, Some Recent Developments in Fourier Analysis and HP-Theory on Product Domains, Bulletin of the A.M.S., Vol. 12, No. 1, 1985.

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  2. S.Y.A. Chang and R. Fefferman, A Continuous Version of the Duality of H1 and BMO on the Bidisk, Ann. of Math., (2), 112, 1980.

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  3. J.L. Journé, Calderón-Zygmund Operators on Product Spaces, Revista Matematica Iberoamericana, Vol. 3, 1985.

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  4. S.Y.A. Chang and R. Fefferman, The Calderón-Zygmund Decomposition on Product Domains, Amer. Journ. of Math., 104, 1982.

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  5. K.C. Lin, Thesis, Univ. of California, Los Angeles, 1984.

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  6. R. Fefferman, Calderón-Zygmund Theory for Product Domains: HP Spaces, Proc. Natl. Acad. Sci. USA, Vol. 83, Feb. 1986.

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  7. R. Fefferman, Harmonic Analysis on Product Spaces, to appear.

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  8. C. Fefferman and E.M. Stein, HP Spaces of Several Variables, Acta Math. 129, 1972.

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  9. R. Fefferman, AP Weights and Singular Integrals, to appear.

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  10. J. Pipher, Journé’s Covering Lemma and It’s Extension to Higher Dimensions, to appear in Duke Journal of Math.

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  11. H. Lin, Weighted Norm Inequalities for Calderón-Zygmund Operators on Product Domains, Thesis, Univ. of Chicago, 1986.

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  12. J.L. Journé, Rectangle Atoms in Three Parameters, Preprint.

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© 1988 Springer-Verlag

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Fefferman, R. (1988). Some recent developments in fourier analysis and HP theory on product domains — II. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078862

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  • DOI: https://doi.org/10.1007/BFb0078862

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  • Print ISBN: 978-3-540-18905-3

  • Online ISBN: 978-3-540-38841-8

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