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
Special functions, harmonic analysis, and ordinary differential equations.
A quasiconvexity proof for a piecewise matrix integrand yields the exact $L^p$ operator norm: $p-1$ above $p=2$ and its reciprocal below.
A two-part multiplier and arc decomposition proves discrete maximal and oscillation bounds and settles the multi-parameter Bellow--Furstenberg problem.