Alan McIntosh - Selected Papers
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with Andreas Axelsson and Stephen Keith,
The Kato square root problem for mixed boundary value problems
, submitted, 16 pages.
-
with Andreas Axelsson and Stephen Keith,
Quadratic estimates and functional calculi of
perturbed Dirac operators,
submitted, 36 pages.
-
with Andreas Axelsson,
Hodge decompositions on weakly Lipschitz domains,
Advances in Analysis and Geometry:
New Developments Using Clifford Algebras, Birkhauser (2004) 3-30.
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with Zengjian Lou,
Hardy spaces of exact forms on Lipschitz domains in
Rn,
Indiana Univ. Math. Journal, 53 (2004) 583-612.
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with Zengjian Lou,
Divergence-free Hardy spaces on R+n,
Science in China, Ser. A, 47 (2004) 198-208.
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with Zengjian Lou,
Hardy spaces of exact forms on Rn,
Transactions of the AMS, to appear, 34 pages.
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with P. Ausher, S. Hofmann and Ph. Tchamitchian,
The Kato square root problem for higher order elliptic operators and
systems on Rn,
Journal of Evolution Equations 1 (2001) 361-385.
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with P. Auscher, S. Hoffmann, M. Lacey and Ph. Tchamitchian,
The solution of the Kato square root problem for second order elliptic
operators on Rn,
Annals of Mathematics 156 (2002) 633-654.
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with S. Hoffmann and M. Lacey,
The solution of the Kato problem for divergence form elliptic operators
with Gaussion heat kernel bounds,
Annals of Mathematics 156 (2002) 623-631.
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with P. Auscher, S. Hofmann, M. Lacey, J. Lewis and Ph. Tchmitchian
The solution of Kato's conjectures,
Comptes Rendus Acad. Sci., Paris, Sér. I, Math
332 (2001)
601-606.
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with A. Axelsson, R. Grognard and J. Hogan,
Harmonic analysis of Dirac operators on Lipschitz domains.
Proceedings of the Conference on Clifford Analysis and its
Applications, Prague 2000 (2001) Kluwer, 231-246.
- with J. Hogan, C. Li and K. Zhang,
Global higher intergrability of Jacobians on bounded domains,
Annales de l'Institut Henri Poincaré 17 (2000)
193-217.
- with A. Nahmod,
Heat kernel estimates and functional calculi of -b /\,
Math. Scand. 87 (2000) 287-319.
- with B. Jefferies and J. Picton-Warlow,
The monogenic functional calculus,
Studia Math. 136(2) (1999) 99-119.
- with B. Jefferies,
The Weyl Calculus and Clifford Analysis,
Bulletin of the Australian Mathematical Society 57 (1998) 329-341.
- with M. Mitrea,
Clifford algebras and Maxwell's equations in Lipschitz domains,
Mathematical Methods in the Applied Sciences 22 (1999) 1599-1620.
- with D. Albrecht and E. Franks
Holomorphic functional calculi and sums of commuting operators,
Bulletin of the Australian Mathematical Scoiety 58 (1998) 291-305.
- with P. Auscher and A. Nahmod,
Holomorphic functional calculi of operators, quadratic estimates and
interpolation,
Indiana University Math. Journal 46 (1997) 375-403.
- with X.T. Duong,
Singular integral operators with non-smooth kernels on irregular domains,
Revista Matemática Iberoamericana 15 (1999)
233-265.
- with X.T. Duong
The Lp boundedness of Riesz transforms associated with
divergence form operators,
Workshop on Analysis and Applications, Brisbane, 1997 Proceedings of the
Centre for Mathematical Analysis, ANU Canberra 37 (1999) 15-25.
- with P. Auscher and Ph. Tchamitchian,
Heat kernels of second order complex elliptic operators and
applications,
Journal of Functional Analysis 152 (1998) 22-73.
- with E. Franks,
Discrete quadratic estimates and holomorphic functional calculi in Banach
spaces,
Bulletin of the Australian Mathematical Society, 58 (1998)
271-290.
- with P. Ausher and A. Nahmod,
The square root problem of Kato in one dimension, and first order elliptic
systems,
Indiana University Math. Journal 46 (1997) 659-695.
- with C. Li, Z.J. Wu, K. Zhang,
Compensated compactness, paracommutators, and Hardy spaces,
Journal of Functional Analysis 150 (1997) 289-306.
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Operators which have an
Hoo functional calculus,
Miniconference on Operator Theory and Partial Differential
Equations, Macquarie University, 1986. Proceedings of the Centre
for Mathematical Analysis, Australian National University,
14 (1986) 210-231.
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Last updated: Wednesday 3 September 2003
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