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.
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- Centrifiers and ring commutativity (with D. MacHale), preprint.
- Best constants for metric space inversion inequalities (with S. Hamza), preprint.
- Polynomials that force a ring to be commutative II (with D.
MacHale), preprint.
- Variations on a theme:
rings satisfying x^3=x are commutative (with D.
MacHale), preprint.
- Iterated log-scale Orlicz-Hardy inequalities
(with R. Hurri-Syrjänen),
preprint.
- Wiring switches to lightbulbs (with
A.G. O'Farrell), preprint.
- The spherical boundary and volume growth (with S. Kokkendorff), ISRN Geometry, to appear.
- Rough CAT(0) spaces (with K. Falk),
Bull. Math. Soc. Sci. Math. Roumanie, to appear.
- Distinguishing properties of weak slice conditions
II (with A. Diatta and A. Stanoyevitch),
Int. J. Pure Appl. Math. 71 (2011), 83--98.
Journal
site
- Nonpositive curvature and
complex analysis, Contemporary Math. 525 (2010), 43--83.
- On Ptolemaic metric simplicial
complexes (with J. McDougall and D.J. Wraith),
Math. Proc. Cambridge Phil. Soc. 149 (2010), 93--104.
- Ptolemaic spaces and
CAT(0) (with K. Falk and D.J. Wraith), Glasgow Math. J. 51
(2009), 301--314.
- Comparing the Floyd and ideal
boundaries of a metric space (with S. Kokkendorff),
Trans. Amer. Math. Soc. 361 (2009), 715--734.
- Warped products and
conformal boundaries of CAT(0) spaces (with S.L. Kokkendorff),
J. Geom. Anal. 18 (2008), 704--719.
- Detours and Gromov hyperbolicity (with
S.L. Kokkendorff), Int. J. Pure Appl. Math. 47 (2008), 313--323.
Journal
site
- Univalent interpolation in
Besov spaces and superposition into Bergman spaces (with
D. Vukotic), Potential Anal. 29 (2008), 1--16.
- Metric space inversions,
quasihyperbolic distance, and uniform spaces (with D. Herron and
X. Xie), Indiana U. Math. J. 57 (2008), 837--890.
- Uniform domains and weak slice
spaces (with D. Herron), Conform. Geom. Dyn. 11 (2007), 191--206.
- Uniform domains and
capacity (with D. Herron), Israel J. Math., 158 (2007), 129--157.
- Codaigh agus Córais Dhinimiciúla Réadacha,
Logic Press, 2006.
Publisher's webpage for
book--Contents and Introduction
- Fractals and Real Dynamical Systems,
Logic Press, 2006.
Publisher's webpage for
book--Contents and Introduction
- Superposition operators and
the order and type of entire functions (with D. Vukotic),
Contemp. Math. 393 (2006), 51--58.
- Admissable measures in one dimension (with J. Björn
and S. Keith), Proc. Amer. Math. Soc. 134 (2006), 703--705.
Journal site
- Ends of metric measure spaces
and Sobolev inequalities (with P. Koskela), Math. Z. 252 (2006),
275--285.
- Sphericalization and
flattening (with Z. Balogh), Conform. Geom. Dyn. 9 (2005),
76--101.
Journal site
- Orlicz-Hardy inequalities (with P. Koskela), Illinois
J. Math. 48 (2004), 787--802.
Project Euclid
- Relative solidity for spaces
of holomorphic functions, Math. Proc. Roy. Irish Acad. 104A
(2004), 83--97.
- Quasiconformal images of Hölder domains,
Ann. Acad. Sci. Fenn. Math. 29 (2004), 21--42.
Journal site
- Slice conditions and their
applications, Rep. Univ. Jyväskylä Dept. Math. Stat. 92
(2003), 63--76.
- Geometric characterizations
of Gromov hyperbolicity (with Z. Balogh), Invent. Math. 153
(2003), 261--301.
- Distinguishing properties of weak slice conditions (with
A. Stanoyevitch), Conform. Geom. Dyn. 7 (2003), 49--75.
Journal site
- 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
- Weak slice conditions and
Hölder imbeddings (with A. Stanoyevitch), J. London
Math. Soc., 66 (2001), 690--706.
- Weak slice conditions,
product domains, and quasiconformal mappings (with
A. Stanoyevitch), Rev. Mat. Iberoam., 17 (2001), 1--37
- Doubling for general sets (with P. MacManus and B. Hanson),
Math. Scand. 88 (2001), 229--245.
Journal
site
- Sobolev spaces: a short
course, presented in Universidad de La Laguna, May 2000.
- Singular measures and the key of G (with P. MacManus),
Publ. Mat. 44 (2000), 483--489.
Journal site
- Mixed norms and analytic
function spaces, Proc. Roy. Irish Acad. 100A (2000),
1--9.
- Inequalities of John-Nirenberg
type in doubling spaces, J. Analyse Math. 79 (1999), 215--240.
- Weighted Trudinger-type inequalities (with J. O'Shea),
Indiana Univ. Math. J. 48 (1999), 85--114.
Journal site
- Is the maximal function of a Lipschitz function
continuous?, Ann. Acad. Sci. Fenn. 24 (1999), 519--528.
Journal site (DVI, PS, PDF)
- Bounded and compact multipliers
between Bergman and Hardy spaces (with M.S. Ramanujan and
D. Vukotic), Integr. Equ. Oper. Theory 35 (1999), 1--19.
- On the fusion problem for degenerate elliptic equations II
(with P. Koskela), Comment. Math. Univ. Carolin. 40 (1999), 1--6.
Journal site
- Fractional integration,
differentiation, and weighted Bergman spaces (with P. Koskela and
D. Vukotic), Math. Proc. Cambridge Phil. Soc. 126 (1999), 369-385.
- Strong doubling conditions, Math. Ineq.
Appl. 1 (1998), 533--542.
- New Poincaré inequalities from old (with
P. Koskela), Ann. Acad. Sci. Fenn. 23 (1998), 251--260.
Journal site (DVI, PS, PDF)
- Criteria for imbeddings of
Sobolev-Poincaré type (with P. Koskela),
Internat. Math. Res. Not. 18 (1996), 881--902.
- Boman equals John (with P. Koskela
and G. Lu), Proc. XVI Rolf Nevanlinna Colloquium (1996), 91--99.
- Sequences of reverse Minkowski type,
Proc. Roy. Irish Acad. 96A (1996), 147--157.
- Space-filling curves and related
functions, Bull. Irish Math. Soc. 36 (1996), 9--18.
- Sobolev-Poincaré implies John
(with P. Koskela), Math. Research Letters 2 (1995), 577--594.
- Subelliptic Poincaré inequalities: the case p < 1
(with P. Koskela and G. Lu), Publ. Mat. 39 (1995), 313--334.
Journal site
- Pointwise multipliers for reverse
Hölder spaces II, Proc. Roy. Irish Acad. 95A (1995),
193--204.
- Sobolev-Poincaré inequalities for p
< 1 (with P. Koskela), Indiana Univ. Math. J. 43 (1994),
221--240.
- Pointwise multipliers for reverse
Hölder spaces, Studia Math. 109 (1994), 23--39.
Polish Virtual Mathematical Library
- Estimates for operator norms on weighted spaces and reverse
Jensen inequalities, Trans. Amer. Math. Soc. 340 (1993), 253--272.
Journal site
- Summation conditions on weights, Michigan Math. J. 40 (1993),
153--170.
Project Euclid
- Noncommutative anticommutative rings (with D. MacHale), Bull. Irish Math. Soc. 18 (1987), 55--57.
NUIM
eprints
- Dividing an angle into equal parts (with D. MacHale), Math. Gaz. 69 (1985), 9--12.
- A note on the ring axioms, Math. Gaz. 68 (1984), 215--216.
E-mail: head at maths.nuim.ie
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