11 citations · 58 across the 23 of their papers we have counts for
23 papers
Distance-Weighted Norm Equivalences for Analytic Functions on John Domains
Katsuhiko Matsuzaki, Huaying Wei
Let be a bounded John domain and set . For and , we establish a norm equivalence betwee…
A fiber bundle over BMO Teichmüller space
Katsuhiko Matsuzaki
We prove that the fiber space consisting of BMOA functions that are the logarithms of derivatives of conformal homeomorphisms of the unit disk onto bounded quasidisks forms a real-…
Bi-Lipschitz quasiconformal extensions
Katsuhiko Matsuzaki
We survey several methods of extending quasisymmetric homeomorphisms of the real line to bi-Lipschitz diffeomorphisms of the upper half-plane with respect to the hyperbolic metric.
The -integrable Teichmüller space for
Huaying Wei, Katsuhiko Matsuzaki
We verify that the -integrable Teichmüller space admits the canonical complex Banach manifold structure for any . Moreover, we characterize a quasisymmetric home…
Strongly symmetric homeomorphisms on the real line with uniform continuity
Huaying Wei, Katsuhiko Matsuzaki
We investigate strongly symmetric homeomorphisms of the real line which appear in harmonic analysis aspects of quasiconformal Teichmüller theory. An element in this class can be ch…
Chordal Loewner chains and Teichmüller spaces on the half-plane
Huaying Wei, Katsuhiko Matsuzaki
We consider a univalent analytic function on the half-plane satisfying the condition that the supremum norm of its (pre-)Schwarzian derivative vanishes on the boundary. Under c…
The VMO-Teichmüller space and the variant of Beurling-Ahlfors extension by heat kernel
Huaying Wei, Katsuhiko Matsuzaki
We give a real-analytic section for the Teichmüller projection onto the VMO-Teichmüller space by using the variant of Beurling-Ahlfors extension by heat kernel introduced by Feffer…
BMO embeddings, chord-arc curves, and Riemann mapping parametrization
Huaying Wei, Katsuhiko Matsuzaki
We consider the space of chord-arc curves on the plane passing through the infinity with their parametrization on the real line, and embed this space into the product of the BM…
Parametrization of the -Weil-Petersson curves: holomorphic dependence
Huaying Wei, Katsuhiko Matsuzaki
Similarly to the Bers simultaneous uniformization, the product of the -Weil-Petersson Teichmüller spaces for provides the coordinates for the space of -Weil-Peters…
The -Weil-Petersson Teichmüller space and the quasiconformal extension of curves
Huaying Wei, Katsuhiko Matsuzaki
We consider the correspondence between the space of -Weil-Petersson curves on the plane and the -Besov space of on the real line for . We prove that the…
Beurling-Ahlfors extension by heat kernel, -weights for VMO, and vanishing Carleson measures
Huaying Wei, Katsuhiko Matsuzaki
We investigate a variant of the Beurling-Ahlfors extension of quasisymmetric homeomorphisms of the real line that is given by the convolution of the heat kernel, and prove that the…
Teichmüller spaces of piecewise symmetric homeomorphisms on the unit circle
Huaying Wei, Katsuhiko Matsuzaki
We interpolate a new family of Teichmüller spaces between the universal Teichmüller space and its little subspace , which we call the Teichmüller space of p…
Teichmüller spaces of generalized symmetric homeomorphisms
Huaying Wei, Katsuhiko Matsuzaki
We introduce the concept of a new kind of symmetric homeomorphisms on the unit circle, which is derived from the generalization of symmetric homeomorphisms on the real line. By the…
BMO Teichmüller spaces and their quotients with complex and metric structures
Huaying Wei, Katsuhiko Matsuzaki
The paper presents some recent results on the BMO Teichmüller space, its subspaces and quotient spaces. We first consider the chord-arc curve subspace and prove that every element…
On horospheric limit sets of Kleinian groups
Kurt Falk, Katsuhiko Matsuzaki
In this paper we partially answer a question of P. Tukia about the size of the difference between the big horospheric limit set and the horospheric limit set of a Kleinian group. W…
Weighted cogrowth formula for free groups
Johannes Jaerisch, Katsuhiko Matsuzaki
We investigate the relationship between geometric, analytic and probabilistic indices for quotients of the Cayley graph of the free group endowed with variable edg…
Injectivity of the quotient Bers embedding of Teichmüller spaces
Katsuhiko Matsuzaki
The Bers embedding of theTeichmüller space is a homeomorphism into the Banach space of certain holomorphic automorphic forms. For a subspace of the universal Teichmüller space and…
Continuity of the barycentric extension of circle diffeomorphisms of Hölder continuous derivatives
Katsuhiko Matsuzaki
The barycentric extension due to Douady and Earle gives a conformally natural extension of a quasisymmetric automorphism of the circle to a quasiconformal automorphism of the unit…
Rigidity of groups of circle diffeomorphisms and Teichmüller spaces
Katsuhiko Matsuzaki
We consider deformations of a group of circle diffeomorphisms with Hölder continuous derivatives in the framework of quasiconformal Teichmüller theory and show certain rigidity und…
Growth and cogrowth of normal subgroups of a free group
Johannes Jaerisch, Katsuhiko Matsuzaki
We give a sufficient condition for a sequence of normal subgroups of a free group to have the property that both, their growths tend to the upper bound and their cogrowths tend to…
Normalizer, divergence type and Patterson measure for discrete groups of the Gromov hyperbolic space
Katsuhiko Matsuzaki, Yasuhiro Yabuki, Johannes Jaerisch
For a non-elementary discrete isometry group of divergence type acting on a proper geodesic -hyperbolic space, we prove that its Patterson measure is quasi-invariant under t…
The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group
Kurt Falk, Katsuhiko Matsuzaki
In this paper we study the relationship between three numerical invariants associated to a Kleinian group, namely the critical exponent, the Hausdorff dimension of the limit set an…
Checking atomicity of conformal ending measures for Kleinian groups
Kurt Falk, Katsuhiko Matsuzaki, Bernd O Stratmann
In this paper we address questions of continuity and atomicity of conformal ending measures for arbitrary non-elementary Kleinian groups. We give sufficient conditions under which…