## María de los Ángeles Alfonseca-Cubero

NSF Grant DSM-1100657

Publications:

• T-sections of convex bodies (with F. Nazarov, D. Ryabogin, A. Zvavitch), in preparation.

• On the local convexity of intersection bodies of revolution, (with J. Kim), to appear in the Canadian Journal of Mathematics, http://cms.math.ca/10.4153/CJM-2013-039-4.

• Intersection bodies that are not polar zonoids: A flat top condition in dimensions 4 and 6,  J. Math. Analysis and Applications 404 (2013), no. 2, 326–337.

• Analyticity of layer potentials and $L^2$ solvability of boundary value problems for divergence form elliptic equations with complex $L^\infty$ coefficients, (with P. Auscher, A. Axelson, S. Hofmann, S. Kim), Adv. Math. 226 (2011) 4533-4606.

• An extension of a result by Lonke to intersection bodies, J. Math. Analysis and Applications 371 (2010), no.1, 146-157.

• Strong type inequalities and an almost-orthogonality principle for families of maximal operators along directions in R2, J. London Math. Soc. (2) 67 (2003), 208-218.

• A remark on maximal operators along directions in R2, (with F. Soria and A. Vargas) Math. Res. Lett. 10 (2003), no. 1, 41-49.

• An almost-orthogonality principle in L2 for directional maximal functions (with F. Soria and A. Vargas), Harmonic Analysis at Mount Holyoke, 1-7, Contemp. Math, 320 Amer. Math. Soc. 2003.

•