Po‐Lam Yung

activity

20032026

most citedA surprising formula for Sobolev norms

52 citations · 278 across the 40 of their papers we have counts for

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3 papers · 1 filter

math.FA2021★ 12 cited

Spaces of Besov-Sobolev type and a problem on nonlinear approximation

Óscar Domínguez, Andreas Seeger, Brian Street +2

We study fractional variants of the quasi-norms introduced by Brezis, Van Schaftingen, and Yung in the study of the Sobolev space $W ˙^{1, p}$ . The resulting spaces are identifie…

math.FA2021★ 14 cited

Families of functionals representing Sobolev norms

Haim Brezis, Andreas Seeger, Jean Van Schaftingen +1

We obtain new characterizations of the Sobolev spaces $W ˙^{1, p} (R^{N})$ and the bounded variation space $B V ˙ (R^{N})$ . The characterizations are in terms of t…

math.FA2020★ 52 cited

A surprising formula for Sobolev norms

Haim Brezis, Jean Van Schaftingen, Po-Lam Yung

We establish the equivalence between the Sobolev semi-norm $∥\nabla u ∥_{L^{p}}$ and a quantity obtained when replacing the strong $L^{p}$ by a weak $L^{p}$ norm in the Gagliardo semi-n…