2 problems

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Diameter-dependent $\ell^p$ -improving conjecture for separated polynomial curves
Let $\gamma(T)=\big(\phi_1(T),\dots,\phi_r(T)\big)\subset\mathbb{Z}[T]$ be a separated system of $r$ polynomials with integer coefficients and total degree $D_\gamma$ . For a finite…
Conjectureopendiscrete-harmonic-analysis ellp-improving polynomial-curvesarXiv posted 2 days ago
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Diameter-free $p$ -improving conjecture for separated polynomial curves
Let $\gamma(T)=\big(\phi_1(T),\dots,\phi_r(T)\big)\subset\mathbb{Z}[T]$ be a separated system of $r$ polynomials with integer coefficients and total degree $D_\gamma$ . For a finite…
Conjectureopendiscrete-harmonic-analysis ellp-improving polynomial-curvesarXiv posted 2 days ago

Diameter-dependent ℓp\ell^pℓp-improving conjecture for separated polynomial curves