T. Rajala

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20242026

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2 papers · 1 filter

math.FA2026

Planar $W^{1, 1}$ -extension domains

Pekka Koskela, Tapio Rajala, Yi Ru-Ya Zhang

We show that a bounded planar simply connected domain $I^c ◯$ is a $W^{1, 1}$ -extension domain if and only if for every pair $x, y$ of points in $I^c ◯^{c}$ there exists a curve $Î³\subset…

math.FA2024

Vector calculus on weighted reflexive Banach spaces

Enrico Pasqualetto, Tapio Rajala

We study first-order Sobolev spaces on reflexive Banach spaces via relaxation, test plans, and divergence. We show the equivalence of the different approaches to the Sobolev spaces…

Planar W1,1-extension domains

Vector calculus on weighted reflexive Banach spaces

Planar $W^{1, 1}$ -extension domains