S. Nitzan

activity

20092026

R^{d}

45 citations · 56 across the 12 of their papers we have counts for

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math.FA2026

A sharp discrete Sobolev inequality and left inverses of higher order differences

Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1

For integers $α, d ⩾ 1$ , we determine the best constants in the inequalities $∣∣ (a_{j})_{j = 1}^{d} ∣ ∣_{ℓ^{1}} ⩽ C_{α, d} ∣∣ ((Δ^{α} a)_{j})_{j = 1}^{d + α} ∣ ∣_{ℓ^{2}},$ where $Δ$ i…

math.FA2024

A sharp higher order Sobolev embedding

Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1

We obtain sharp embeddings from the Sobolev space $W_{0}^{k, 2} (- 1, 1)$ into the space $L^{1} (- 1, 1)$ and determine the extremal functions. This improves on a previous estimate of the sha…