Proof Establishes Iwaniec’s Exact Beurling–Ahlfors Norm Conjecture
A quasiconvexity proof for a piecewise matrix integrand yields the exact $L^p$ operator norm: $p-1$ above $p=2$ and its reciprocal below.
Sep 25, 20264 min2609.28311
Complex Variables
math.CVHolomorphic functions, automorphic forms, and complex geometry.
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Sharp Region Classifies Degree-Three Rational Sphere Map Denominators
Gram-matrix positivity converts the boundary identity into finite-dimensional linear algebra, yielding an exact two-parameter admissibility region and a complete dimension classification.
Sep 3, 20264 min2608.29451
Three Exceptional Values Do Not Force Bounded Type
A symmetric meromorphic construction places the preimages of 0, 1, and infinity on the real axis while making every other point divisor non-Blaschke in both half-planes.
Aug 29, 20264 min2608.26062