HF RL Explorer

Prove LipschitzHilbert (openai/math family 083: Stein's conjecture for Hilbert transforms along Lipschitz…

Prove LipschitzHilbert (openai/math family 083: Stein's conjecture for Hilbert transforms along Lipschitz…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 083 of the release, Stein's conjecture for Hilbert transforms along Lipschitz…

The task

Context: this statement belongs to family 083 of the release, *Stein's conjecture for Hilbert transforms along Lipschitz directions* (Real and complex analysis). The family as a whole: Proves a uniform strong $L^2$ bound for the planar Hilbert transform along any Lipschitz unit vector field, at integration lengths…

Part of raising-heart/openai-math.