Javier Falcó

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20182021

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math.CV2021

Asymptotic first boundary value problem for elliptic operators

Javier Falcó, Paul M. Gauthier

In 1955, Lehto showed that, for every measurable function $ψ$ on the unit circle $T,$ there is a function $f$ holomorphic in the unit disc, having $ψ$ as radial limit a.e.…

math.CV2019

A function algebra providing new Mergelyan type theorems in several complex variables

Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1

For compact sets $K \subset C^{d}$ , we introduce a subalgebra $A_{D} (K)$ of $A (K)$ , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…