Decreasing rearrangements and $L^{p,q}$ of the Bohr group

J. Ash; Kenneth Ross

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In his recent lecture at the International Congress [S], Stephen Semmes stated the following conjecture for which we provide a proof. Theorem. Suppose Ω is a bounded open set in Rⁿ with n > 2, and suppose that B(0,1) ⊂ Ω, H^n-1(∂Ω) = M < ∞ (depending on n and M) and a Lipschitz graph Γ (with constant L) such that H^n-1(Γ ∩ ∂Ω) ≥ ε. Here H...

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Displaying similar documents to “Decreasing rearrangements and L p , q of the Bohr group”

Displaying similar documents to “Decreasing rearrangements and $L^{p, q}$ of the Bohr group”