Eric
T. Sawyer
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Mailing Address: |
HH 311A |
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Short
Description of Research 2005-2009
Links to Papers, Books and Lecture
Notes
Papers
M. Lacey, E.
Sawyer, and I. Uriarte-Tuero, A characterization of
the two weight norm inequality for the Hilbert transform. http://arxiv.org/abs/1001.4043
M. Lacey, E.
Sawyer, and I. Uriarte-Tuero, Astala's
conjecture on distortion of Hausdorff measure under quasiconformal maps, to appear in Acta.
Math. http://arxiv.org/abs/0805.4711
M. Lacey, E.
Sawyer, and I. Uriarte-Tuero, A characterization of
two weight norm inequalities for maximal singular integrals. http://arxiv.org/abs/0807.0246
M. Lacey, E.
Sawyer, and
M. Lacey, E.
Sawyer, and
S. Costea, E.Sawyer and B. Wick, The corona theorem for the Drury-Arveson Hardy space and other Besov-Sobolev
spaces on the unit ball in Cⁿ. http://arxiv.org/abs/0811.0627
S. Costea, E.Sawyer and B. Wick, BMO estimates for the H^{∞}(B_{n}) corona problem. http://arxiv.org/abs/0905.1476
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric and B. Wick, Bilinear forms
on the Dirichlet space, to appear in Analysis and
PDE. http://arxiv.org/abs/0811.4107
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric, Carleson
measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls, Adv. Math. 218
(2008), no. 4, 1107--1180. http://arxiv.org/abs/0706.0435
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric, Carleson
measures and interpolating sequences for Besov spaces
on complex balls, Mem. Amer. Math. Soc. 182 (2006)
no. 859, vi+163 pp. early version: http://www.math.mcmaster.ca/~sawyer/Publications/ars17jan.pdf
Rios, Cristian; Sawyer, Eric T.; Wheeden,
Richard L., Regularity of subelliptic Monge-Ampère equations, Adv. Math. 217 (2008), no. 3,
967-1026. early version: http://www.math.mcmaster.ca/~sawyer/Publications/part4auglegendre.pdf
Guan, Pengfei; Sawyer, Eric, Regularity of subelliptic
Monge-Ampère equations in the plane, Trans. Amer.
Math. Soc. 361 (2009), no. 9, 4581--4591.
early version: . http://www.math.mcmaster.ca/~sawyer/Publications/Gu_Saw_Mean-9-7-2007.pdf
Rios, C. and
Sawyer, E., Smoothness of radial solutions to the Monge-Ampère
equation, Proc. Amer. Math. Soc. 137 (2009), no. 4, 1373--1379. http://arxiv.org/abs/0804.2497
Sawyer, Eric T.; Wheeden, Richard L., Hölder
continuity of weak solutions to subelliptic equations
with rough coefficients, Mem. Amer. Math. Soc. 180
(2006) no. 847, x+157 pp. early version: http://www.math.mcmaster.ca/~sawyer/Publications/swmemoirsrev.pdf
Sawyer, Eric T.; Wheeden, Richard L., Degenerate Sobolev
spaces and regularity of subelliptic equations,
Trans. A. M. S., article electronically published on October 30, 2009. early version: http:/www.math.mcmaster.ca/~sawyer/Publications/DegenerateSob24revfix3.pdf
Sawyer, Eric T.; Wheeden, Richard L., Regularity of degenerate Monge-Ampère and prescribed Gaussian curvature equations in
two dimensions, Potential Anal. 24 (2006), no. 3 267-301. early version: http:/www.math.mcmaster.ca/~sawyer/Publications/amperei.pdf
Sawyer, Eric T.; Wheeden, Richard L., A priori estimates for quasilinear equations related to the Monge-Ampère
equation in two dimensions, J. Anal. Math. 97 (2005), 257-316. early version: http:/www.math.mcmaster.ca/~sawyer/Publications/apriori.pdf
Rios, Cristian; Sawyer, Eric T.; Wheeden,
Richard L., A higher-dimensional partial Legendre transform, and regularity of
degenerate Monge-Ampère equations, Adv. Math. 193
(2005) no. 2, 373-415. early version: http://www.math.mcmaster.ca/~sawyer/Publications/part4auglegendre.pdf
Arcozzi, N.; Rochberg, R.; Sawyer, E., Some problems on Carleson measures for Besov-Sobolev
spaces, Topics in complex analysis and operator theory, 141--148, Univ. Málaga, Málaga, 2007.
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric, The characterization of
the Carleson measures for analytic Besov spaces: a simple proof, Complex and harmonic
analysis, 167--177, DEStech Publ., Inc., Lancaster,
PA, 2007. http://arxiv.org/abs/0706.1936
Arcozzi, Nicola; Rochberg, Richard; Sawyer, Eric, The diameter space, a
restriction of the Drury-Arveson-Hardy space,
Function spaces 21-42, Contemp. Math., 435 (2007), Amer. Math. Soc.,
Providence, RI.
Iosevich,
Alexander; Sawyer, Eric T.; Seeger, Andreas, Mean lattice point discrepancy
bounds. II. Convex domains in the plane, J. Anal. Math. 101 (2007), 25-63. http://arxiv.org/abs/math/0501113
Books
Sawyer, E.,
Function Theory: Interpolation and
Lecture Notes
Sawyer,
Eric, Lecture Notes in Real Analysis 2009
Sawyer,
Eric, Lecture Notes in Complex Analysis 2009
Sawyer,
Eric, Functional Analysis and Applications 2006
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