For printing - MSP

HÖLDER REGULARITY FOR ∂ 255
References
[BC] J. Bruna and J. del Castillo, Hölder and L p -estimates for the ∂-equation in some
convex domains with real analytic boundary, Math. Ann., 269 (1984), 527-539.
[BCD] J. Bruna, P. Charpentier and Y. Dupain, Zero varieties for the Navanlinna class
in convex domains of finite type in C n , Ann. Math., 147 (1998), 391-415.
[BNW] J. Bruna, A. Nagel and S. Wainger, Convex hypersurface and Fourier transform,
Ann. of Math., 127(1988), 333-335.
[C1] D. Catlin, Estimates of invariant metrices on pseudoconvex domains of dimension
two, Math. Z., 200 (1989), 429-466.
[C2] , Subelliptic estimates for the ∂-Neumann problem on pseudoconvex domains,
Ann. of Math., 126 (1986), 131-191.
[CC] J. Chaumat and A.-M. Chollet, Estimations Hölderiennes pour les equations
de Cauchy-Riemann dans les convexes compacts de C n , Math Z., 207 (1991),
501-534.
[CKM] Z. Chen, S. Krantz and D. Ma, Optimal L p -estimates for the ∂-equation on
complex ellipsoids in C n , Manuscripta Math., 80 (1993), 131-149.
[Ch] M. Christ, Regularity properties of the ∂-equation on weakly pseudoconvex CR
manifolds of dimension three, J. Am. Math. Soc., 1 (1988), 587-646.
[DFW] K. Diederich, J. Fornæss and J. Wiegerinck, Sharp Hölder estimates for ∂ on
ellipsoids, Manuscr. Math., 56 (1986), 399-413.
[FK] C. Fefferman and J.J. Kohn, Hölder estimates on domains of complex dimension
two and on three dimensional CR manifolds, Adv. Math., 69 (1988), 233-303.
[FKM] C. Fefferman, J.J. Kohn and M. Machedon, Hölder estimates on CR manifolds
with a Diagonalizable Levi form, Adv. Math., 84 (1990), 1-90.
[Fo] J. Fornæss, Sup-Norm estimates for ∂ in C 2 , Ann. Math., 123 (1989), 335-345.
[FoS] J. Fornæss and N. Sibony, Construction of P.S.H. functions on weakly pseudoconvex
domains, Duke Math. J., 58 (1989), 633-655.
[Fr] S. Frankel, Applications of affine geometry to geometric function theory in several
complex variables, Proc. Symp. Pure Math., 52 (1991), 183-208.
[Mc1] J.D. McNeal, Boundary behavior of the Bergman kernel function in C 2 , Duke
Math. J., 58 (1989), 499-512.
[Mc2] , Lower bounds on Bergman metric near point of finite type, Ann. of
Math., 136 (1992), 339-360.
[Mc3] , Convex domains of finite type, J. Func. Anal., 108 (1992), 361-373.
[Mc4] , Estimates on Bergman kernels of convex domains, Adv. Math., 109
(1994), 108-139.
[MS] J.D. McNeal and E. Stein, Mapping properties of the Bergman projection on
convex domains of finite type, Duke Math. J., 73 (1994), 177-199.
[M] J. Michel, Integral kernels on weakly pseudoconvex domains, Math. Z., 208
(1991), 437-462.
[NRSW] A. Nagel, J.P. Rosay, E. Stein and S. Wainger, Estimates for the Bergman and
Szegö kernels in C 2 , Ann. of Math., 129 (1989), 113-149.
[R1] R.M. Range, Hölder estimates for ∂ on convex domains in C 2 with real analytic
boundary, Proc. Symp. Pure Math., 30 (1975), 31-34.