Martí Prats

activity

20142020

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

26 citations · 84 across the 8 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.CA2015★ 16 cited

Sobolev regularity of the Beurling transform on planar domains

Martí Prats

Consider a Lipschitz domain $Ω$ and the Beurling transform of its characteristic function $B χ_{Ω} (z) = - p.v. \frac{1}{π z ^{2}} * χ_{Ω} (z)$ . It is shown that if the outward un…

math.CA2015

Sobolev regularity of quasiconformal mappings on domains

Martí Prats

Consider a Lipschitz domain $Ω$ and a measurable function $μ$ supported in $Ω$ with $∥ μ ∥_{L^{\infty}} < 1$ . Then the derivatives of a quasiconformal solution of t…

math.CA2015★ 21 cited

A T(1) theorem for fractional Sobolev spaces on domains

Martí Prats, Eero Saksman

Given any uniform domain $Ω$ , the Triebel-Lizorkin space $F_{p, q}^{s} (Ω)$ with $0 < s < 1$ and $1 < p, q < \infty$ can be equipped with a norm in terms of first order differences restricted t…