Classical Analysis and ODEs

math.CA

Special functions, harmonic analysis, and ordinary differential equations.

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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

Circle Method Resolves Multi-Parameter Radon Averages

A two-part multiplier and arc decomposition proves discrete maximal and oscillation bounds and settles the multi-parameter Bellow--Furstenberg problem.

Jul 28, 20265 min2607.18160