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math.FA2025
Non-improvability of sharp endpoint estimates
Zdeněk Mihula, Luboš Pick, Armin Schikorra
For an integer and the parameter , the Riesz potential is known to take boundedly into , and also t…
math.AP2025
Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side
Ahmed Dughayshim, Silvino Reyes Farina, Armin Schikorra
For we investigate well-posedness of the equation \[ \left ( i \partial_t + (-Δ)^{s} \right ) u = \left (|D|^{1-2s} |u|^2 \right)\ |D|^{2s-1} u \] under sma…