Alex Amenta

activity

20132020

most citedRescaled extrapolation for vector-valued functions

14 citations · 33 across the 12 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.CA2016

Complex interpolation of $Z$ -spaces

Alex Amenta

We prove that the $Z$ -spaces $Z_{s}^{p, q}$ form a complex interpolation scale for all $0 < p, q \leq \infty$ and $s \in R$ , filling a gap in recent work with Pascal Auscher.

math.AP2016

Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach

Alex Amenta, Pascal Auscher

We study well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal varia…

math.FA2016

$L^{p}$ - $L^{q}$ off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results

Alex Amenta, Jonas Teuwen

We investigate $L^{p} (γ)$ - $L^{q} (γ)$ off-diagonal estimates for the Ornstein-Uhlenbeck semigroup $(e^{t L})_{t > 0}$ . For sufficiently large $t$ (quantified in terms of $p$ and $q$ ) the…

Complex interpolation of Z-spaces

Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach

Lp-Lq off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results

Complex interpolation of $Z$ -spaces

$L^{p}$ - $L^{q}$ off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results