Wall properties of domains in euclidean spaces.
Wandering domains and invariant conformal structures for mappings of the 2-torus.
Wann sind die Grunskyschen Koeffizientenbedingungen hinreichend für Q-quasikonforme Fortsetzbarkeit?
Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
Let Ω be a planar Jordan domain and α > 0. We consider double-dome-like surfaces Σ(Ω, tα) over Ω where the height of the surface over any point x ∈ Ωequals dist(x, ∂Ω)α. We identify the necessary and sufficient conditions in terms of and α so that these surfaces are quasisymmetric to S2 and we show that Σ(Ω, tα) is quasisymmetric to the unit sphere S2 if and only if it is linearly locally connected and Ahlfors 2-regular.
Weak inequalities for exit times and analytic functions
Weak slice conditions, product domains, and quasiconformal mappings.
We investigate geometric conditions related to Hölder imbeddings, and show, among other things, that the only bounded Euclidean domains of the form U x V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.
Weakly starlike logharmonic mappings.
Weakly sufficient sets for A-∞(D).
In the space A-∞(D) of functions of polynomial growth, weakly sufficient sets are those such that the topology induced by restriction to the set coincides with the topology of the original space. Horowitz, Korenblum and Pinchuk defined sampling sets for A-∞(D) as those such that the restriction of a function to the set determines the type of growth of the function. We show that sampling sets are always weakly sufficient, that weakly sufficient sets are always of uniqueness, and provide examples...
Weighted differentiation composition operators from the mixed-norm space to the th weigthed-type space on the unit disk.
Weighted distortion in conformal mapping in Euclidean, hyperbolic and elliptic geometry.
Weighted polynomial approximation in the complex plane.
Weighted Sobolev and Poincaré Inequalities and Quasiregular Mappings of Polynomial Type.
Whitney covers and quasi-isometry of -averaging domains.
Whitney-type theorems on extension of functions on Carnot groups.
Widom factors for the Hilbert norm
Given a probability measure μ with non-polar compact support K, we define the n-th Widom factor W²ₙ(μ) as the ratio of the Hilbert norm of the monic n-th orthogonal polynomial and the n-th power of the logarithmic capacity of K. If μ is regular in the Stahl-Totik sense then the sequence has subexponential growth. For measures from the Szegő class on [-1,1] this sequence converges to some proper value. We calculate the corresponding limit for the measure that generates the Jacobi polynomials, analyze...
Wiman and Arima theorems for quasiregular mappings.