Research
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Downloads

Below are PDF download links for most of my publications, plus extracts from my two books. If I know of a stable open access download for a paper, I use it; otherwise I link to my own preprint.

In case of any processing problems, I can send you a hard copy.


  1. Centrifiers and ring commutativity (with D. MacHale), preprint.

  2. Best constants for metric space inversion inequalities (with S. Hamza), preprint.

  3. Polynomials that force a ring to be commutative II (with D. MacHale), preprint.

  4. Variations on a theme: rings satisfying x^3=x are commutative (with D. MacHale), preprint.

  5. Iterated log-scale Orlicz-Hardy inequalities (with R. Hurri-Syrjänen), preprint.

  6. Wiring switches to lightbulbs (with A.G. O'Farrell), preprint.

  7. The spherical boundary and volume growth (with S. Kokkendorff), ISRN Geometry, to appear.

  8. Rough CAT(0) spaces (with K. Falk), Bull. Math. Soc. Sci. Math. Roumanie, to appear.

  9. Distinguishing properties of weak slice conditions II (with A. Diatta and A. Stanoyevitch), Int. J. Pure Appl. Math. 71 (2011), 83--98.
    Journal site
  10. Nonpositive curvature and complex analysis, Contemporary Math. 525 (2010), 43--83.

  11. On Ptolemaic metric simplicial complexes (with J. McDougall and D.J. Wraith), Math. Proc. Cambridge Phil. Soc. 149 (2010), 93--104.

  12. Ptolemaic spaces and CAT(0) (with K. Falk and D.J. Wraith), Glasgow Math. J. 51 (2009), 301--314.

  13. Comparing the Floyd and ideal boundaries of a metric space (with S. Kokkendorff), Trans. Amer. Math. Soc. 361 (2009), 715--734.

  14. Warped products and conformal boundaries of CAT(0) spaces (with S.L. Kokkendorff), J. Geom. Anal. 18 (2008), 704--719.

  15. Detours and Gromov hyperbolicity (with S.L. Kokkendorff), Int. J. Pure Appl. Math. 47 (2008), 313--323.
    Journal site
  16. Univalent interpolation in Besov spaces and superposition into Bergman spaces (with D. Vukotic), Potential Anal. 29 (2008), 1--16.

  17. Metric space inversions, quasihyperbolic distance, and uniform spaces (with D. Herron and X. Xie), Indiana U. Math. J. 57 (2008), 837--890.

  18. Uniform domains and weak slice spaces (with D. Herron), Conform. Geom. Dyn. 11 (2007), 191--206.

  19. Uniform domains and capacity (with D. Herron), Israel J. Math., 158 (2007), 129--157.

  20. Codaigh agus Córais Dhinimiciúla Réadacha, Logic Press, 2006.
    Publisher's webpage for book--Contents and Introduction
  21. Fractals and Real Dynamical Systems, Logic Press, 2006.
    Publisher's webpage for book--Contents and Introduction
  22. Superposition operators and the order and type of entire functions (with D. Vukotic), Contemp. Math. 393 (2006), 51--58.

  23. Admissable measures in one dimension (with J. Björn and S. Keith), Proc. Amer. Math. Soc. 134 (2006), 703--705.
    Journal site
  24. Ends of metric measure spaces and Sobolev inequalities (with P. Koskela), Math. Z. 252 (2006), 275--285.

  25. Sphericalization and flattening (with Z. Balogh), Conform. Geom. Dyn. 9 (2005), 76--101.
    Journal site
  26. Orlicz-Hardy inequalities (with P. Koskela), Illinois J. Math. 48 (2004), 787--802.
    Project Euclid
  27. Relative solidity for spaces of holomorphic functions, Math. Proc. Roy. Irish Acad. 104A (2004), 83--97.

  28. Quasiconformal images of Hölder domains, Ann. Acad. Sci. Fenn. Math. 29 (2004), 21--42.
    Journal site
  29. Slice conditions and their applications, Rep. Univ. Jyväskylä Dept. Math. Stat. 92 (2003), 63--76.

  30. Geometric characterizations of Gromov hyperbolicity (with Z. Balogh), Invent. Math. 153 (2003), 261--301.

  31. Distinguishing properties of weak slice conditions (with A. Stanoyevitch), Conform. Geom. Dyn. 7 (2003), 49--75.
    Journal site
  32. Superposition operators on Dirichlet type spaces (with J.L. Fernández and D. Vukotic), Report. Univ. Jyväskylä Dept. Math. Stat. 83 (2001), 41--61.
    Journal site
  33. Weak slice conditions and Hölder imbeddings (with A. Stanoyevitch), J. London Math. Soc., 66 (2001), 690--706.

  34. Weak slice conditions, product domains, and quasiconformal mappings (with A. Stanoyevitch), Rev. Mat. Iberoam., 17 (2001), 1--37

  35. Doubling for general sets (with P. MacManus and B. Hanson), Math. Scand. 88 (2001), 229--245.
    Journal site
  36. Sobolev spaces: a short course, presented in Universidad de La Laguna, May 2000.

  37. Singular measures and the key of G (with P. MacManus), Publ. Mat. 44 (2000), 483--489.
    Journal site
  38. Mixed norms and analytic function spaces, Proc. Roy. Irish Acad. 100A (2000), 1--9.

  39. Inequalities of John-Nirenberg type in doubling spaces, J. Analyse Math. 79 (1999), 215--240.

  40. Weighted Trudinger-type inequalities (with J. O'Shea), Indiana Univ. Math. J. 48 (1999), 85--114.
    Journal site
  41. Is the maximal function of a Lipschitz function continuous?, Ann. Acad. Sci. Fenn. 24 (1999), 519--528.
    Journal site (DVI, PS, PDF)
  42. Bounded and compact multipliers between Bergman and Hardy spaces (with M.S. Ramanujan and D. Vukotic), Integr. Equ. Oper. Theory 35 (1999), 1--19.

  43. On the fusion problem for degenerate elliptic equations II (with P. Koskela), Comment. Math. Univ. Carolin. 40 (1999), 1--6.
    Journal site
  44. Fractional integration, differentiation, and weighted Bergman spaces (with P. Koskela and D. Vukotic), Math. Proc. Cambridge Phil. Soc. 126 (1999), 369-385.

  45. Strong doubling conditions, Math. Ineq. Appl. 1 (1998), 533--542.

  46. New Poincaré inequalities from old (with P. Koskela), Ann. Acad. Sci. Fenn. 23 (1998), 251--260.
    Journal site (DVI, PS, PDF)
  47. Criteria for imbeddings of Sobolev-Poincaré type (with P. Koskela), Internat. Math. Res. Not. 18 (1996), 881--902.

  48. Boman equals John (with P. Koskela and G. Lu), Proc. XVI Rolf Nevanlinna Colloquium (1996), 91--99.

  49. Sequences of reverse Minkowski type, Proc. Roy. Irish Acad. 96A (1996), 147--157.

  50. Space-filling curves and related functions, Bull. Irish Math. Soc. 36 (1996), 9--18.

  51. Sobolev-Poincaré implies John (with P. Koskela), Math. Research Letters 2 (1995), 577--594.

  52. Subelliptic Poincaré inequalities: the case p < 1 (with P. Koskela and G. Lu), Publ. Mat. 39 (1995), 313--334.
    Journal site
  53. Pointwise multipliers for reverse Hölder spaces II, Proc. Roy. Irish Acad. 95A (1995), 193--204.

  54. Sobolev-Poincaré inequalities for p < 1 (with P. Koskela), Indiana Univ. Math. J. 43 (1994), 221--240.

  55. Pointwise multipliers for reverse Hölder spaces, Studia Math. 109 (1994), 23--39.
    Polish Virtual Mathematical Library
  56. Estimates for operator norms on weighted spaces and reverse Jensen inequalities, Trans. Amer. Math. Soc. 340 (1993), 253--272.
    Journal site
  57. Summation conditions on weights, Michigan Math. J. 40 (1993), 153--170.
    Project Euclid
  58. Noncommutative anticommutative rings (with D. MacHale), Bull. Irish Math. Soc. 18 (1987), 55--57.
    NUIM eprints
  59. Dividing an angle into equal parts (with D. MacHale), Math. Gaz. 69 (1985), 9--12.

  60. A note on the ring axioms, Math. Gaz. 68 (1984), 215--216.

    E-mail: head at maths.nuim.ie

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