8 citations · 31 across the 22 of their papers we have counts for
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A Fermionic Grunsky operator
Peter Kristel, Eric Schippers, Wolfgang Staubach
To a conformal map from the disk into the complex plane onto a domain with rectifiable Ahlfors-regular boundary, we associate a new kind of Grunsky operator on the…
Faber series for holomorphic one-forms on Riemann surfaces with boundary
Eric Schippers, Mohammad Shirazi
Consider a compact surface with distinguished points and conformal maps from the unit disk into non-overlapping quasidisks on tak…
Weil-Petersson Teichmüller theory of surfaces of infinite conformal type
Eric Schippers, Wolfgang Staubach
Over the past two decades the theory of the Weil-Petersson metric has been extended to general Teichmüller spaces of infinite type, including for example the universal Teichmüller…
Analysis on quasidisks; a unified approach through transmission and jump problems
Eric Schippers, Wolfgang Staubach
We give an exposition of results from a crossroad between geometric function theory, harmonic analysis, boundary value problems and approximation theory, which characterize quasici…
Schiffer comparison operators and approximations on Riemann surfaces bordered by quasicircles
Eric Schippers, Mohammad Shirazi, Wolfgang Staubach
We consider a compact Riemann surface of arbitrary genus, with a finite number of non-overlapping quasicircles, which separate into two subsets: a connected Riemann surface…
Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operator
Eric Schippers, Wolfgang Staubach
Let be a compact Riemann surface and be a Jordan curve separating into connected components and . We consider Calderón-Zygmund type operators ta…
Transmission of harmonic functions through quasicircles on compact Riemann surfaces
Eric Schippers, Wolfgang Staubach
Let be a compact surface and let be a Jordan curve which separates into two connected components and . A harmonic function on of bounded Dirichle…
A Model of the Teichmüller space of genus-zero bordered surfaces by period maps
David Radnell, Eric Schippers, Wolfgang Staubach
We consider Riemann surfaces with borders homeomorphic to and no handles. Using generalized Grunsky operators, we define a period mapping from the infinite-d…
Comparison moduli spaces of Riemann surfaces
Eric Schippers, Wolfgang Staubach
We define a kind of moduli space of nested surfaces and mappings, which we call a comparison moduli space. We review examples of such spaces in geometric function theory and modern…
Dirichlet space of domains bounded by quasicircles
David Radnell, Eric Schippers, Wolfgang Staubach
Consider a multiply-connected domain in the sphere bounded by non-intersecting quasicircles. We characterize the Dirichlet space of as an isomorphic image of a direct s…
Conformal invariants associated with quadratic differentials
Eric Schippers
Z. Nehari developed a general technique for obtaining inequalities for conformal maps and domain functions from contour integrals and the Dirichlet principle. Given a harmonic func…
Quasiconformal Teichmuller theory as an analytical foundation for two-dimensional conformal field theory
David Radnell, Eric Schippers, Wolfgang Staubach
The functorial mathematical definition of conformal field theory was first formulated approximately 30 years ago. The underlying geometric category is based on the moduli space of…
Harmonic reflection in quasicircles and well-posedness of a Riemann-Hilbert problem on quasidisks
Eric Schippers, Wolfgang Staubach
A complex harmonic function of finite Dirichlet energy on a Jordan domain has boundary values in a certain conformally invariant sense, by a construction of H. Osborn. We call the…
A convergent Weil-Petersson metric on the Teichmüller space of bordered Riemann surfaces
David Radnell, Eric Schippers, Wolfgang Staubach
Let be a Riemann surface of genus bordered by curves homeomorphic to the circle , and assume that . For such bordered Riemann surfaces, the auth…
Dirichlet space of multiply connected domains with Weil-Petersson class boundaries
David Radnell, Eric Schippers, Wolfgang Staubach
The restricted class of quasicircles sometimes called the "Weil-Petersson-class" has been a subject of interest in the last decade. In this paper we establish a Sokhotski-Plemelj j…
A Hilbert manifold structure on the refined Teichmueller space of bordered Riemann surfaces
David Radnell, Eric Schippers, Wolfgang Staubach
We consider bordered Riemann surfaces which are biholomorphic to compact Riemann surfaces of genus g with n regions biholomorphic to the disc removed. We define a refined Teichmuel…
The semigroup of rigged annuli and the Teichmueller space of the annulus
David Radnell, Eric Schippers
Neretin and Segal independently defined a semigroup of annuli with boundary parametrizations, which is viewed as a complexification of the group of diffeomorphisms of the circle. B…
A power matrix approach to the Witt algebra and Loewner equations
Eric Schippers
The theory of formal power series and derivation is developed from the point of view of the power matrix. A Loewner equation for formal power series is introduced. We then show tha…
Fiber Structure and Local Coordinates for the Teichmueller Space of a Bordered Riemann Surface
David Radnell, Eric Schippers
We show that the infinite-dimensional Teichmueller space of a Riemann surface whose boundary consists of n closed curves is a holomorphic fiber space over the Teichmueller space of…
A complex structure on the set of quasiconformally extendible non-overlapping mappings into a Riemann surface
David Radnell, Eric Schippers
Let Σbe a compact Riemann surface with n distinguished points p_1,...,p_n. We prove that the set of n-tuples (ϕ_1,...,ϕ_n) of univalent mappings ϕ_i from the open unit disc into Σm…