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

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Showing 2016Show all

2 papers · 1 filter

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.AP2016

Beltrami equations in the plane and Sobolev regularity

Martí Prats

New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation $\partial ˉ f = μ \partial f + ν \partial f$ for discontinuous B…