The biholomorphic curvature of quasisymmetric Siegel domains
نویسندگان
چکیده
منابع مشابه
Local Boundary Regularity of the Szegő Projection and Biholomorphic Mappings of Non-pseudoconvex Domains
It is shown that the Szegő projection S of a smoothly bounded domain Ω, not necessarily pseudoconvex, satisfies local regularity estimates at certain boundary points, provided that condition R holds for Ω. It is also shown that any biholomorphic mapping f : Ω → D between smoothly bounded domains extends smoothly near such points, provided that a weak regularity assumption holds for D. 1. Prelim...
متن کاملTangential Convergence of Bounded Harmonic Functions on Generalized Siegel Domains
Suppose u(x, y) is a bounded harmonic function on the upper half plane such that lim x→∞ u(x, yo) = a for some yo > 0. Then one can prove that lim x→∞ u(x, y) = a for any other positive y. In this paper, we shall consider the algebra of radial integrable functions on the H-type groups and obtain a similar result for the bounded harmonic functions on generalized Siegel domain.
متن کاملDeterminant Type Differential Operators on Homogeneous Siegel Domains
In harmonic analysis on classical domains of matrices, the differential operator whose symbol is the determinant polynomial plays important roles. Particularly, the operator is substantial in study of invariant Hilbert spaces of holomorphic functions on the domain [1, 2, 7, 14, 15, 21]. Considering the Siegel domain realization of a certain symmetric domain with Fourier-analytic methods, Jakobs...
متن کاملCurvature Evolution of Nonconvex Lens-shaped Domains
We study the curvature flow of planar nonconvex lens-shaped domains, considered as special symmetric networks with two triple junctions. We show that the evolving domain becomes convex in finite time; then it shrinks homothetically to a point, as proved in [22]. Our theorem is the analog of the result of Grayson [13] for curvature flow of closed planar embedded curves.
متن کاملQuasisymmetric Groups
1.1. The main results. Let T denote the unit circle and D the unit disc. Suppose that f : T → T is a homeomorphism. Let f̂ : D → D be a homeomorphism too. We say that f̂ extends f if f̂ and f agree on T. All mappings in this paper are sense preserving (see the remark at the end of introduction). Definition 1.1. We say that a homeomorphism f : T → T is K-quasisymmetric if there exists a K-quasiconf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1990
ISSN: 0022-040X
DOI: 10.4310/jdg/1214444090