Eduard Curcua

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math.FA2026

Nonexistence of Henkin type projections via a Wiener theorem for multipliers

Eduard Curcă, Michał Wojciechowski

Let $d \geq 2$ , $l \geq 0$ and suppose $X$ is one of the function spaces $W^{l, 1} (T^{d})$ , $W^{l, \infty} (T^{d})$ or $C^{l} (T^{d})$ . We extend a result of…

math.FA2026

Bourgain-Brezis spaces obtained by real interpolation

Eduard Curcă

In 2002, Bourgain and Brezis proved that for the space $X = W^{1, d}$ (on $T^{d}$ , with $d \geq 2$ ) we have the equality of images \begin{equation} \operatorname{div} (L^{\inft…

math.FA2026

Comparison of polynomial matrix differential operators

Eduard Curcă, Bogdan Raiţă

We characterize matrix polynomials $P, Q$ such that the inequality $$ \left\Vert Q(D)u\right\Vert _{L^{2}}\leq C\left\Vert P(D)u\right\Vert _{L^{2}}\quad\text{for all }u\in C_c^\inf…