Martí Prats

most citedA T(P) theorem for Sobolev spaces on domains

26 citations · 35 across the 2 of their papers we have counts for

collaborators

2 papers

math.CA2016★ 9 cited

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces

Marcos Oliva, Martí Prats

Let $ϕ$ be a quasiconformal mapping, and let $T_{ϕ}$ be the composition operator which maps $f$ to $f \circ ϕ$ . Since $ϕ$ may not be bi-Lipschitz, the composition operator need not map…

math.CA2014★ 26 cited

A T(P) theorem for Sobolev spaces on domains

Martí Prats, Xavier Tolsa

Recently, V. Cruz, J. Mateu and J. Orobitg have proved a T(1) theorem for the Beurling transform in the complex plane. It asserts that given $0 < s \leq 1$ , $1 < p < \infty$ with $s p > 2$ an…