4 papers
Yet another inverse function theorem
Jaume Gudayol
We prove a Nash-Moser type inverse function theorem in Frechet spaces for functions with approximate inverses, allowing for a loss of derivatives proportional to in the way of…
Interpolation sets for Hardy-Sobolev spaces on the boundary of the unit ball of
Jaume Gudayol
We study the interpolation sets for the Hardy-Sobolev spaces defined on the unit ball of . We begin by giving a natural extension to of the condition that is…
Extension theorems of Whitney type by the use of integral operators
Jaume Gudayol
Given a compact of , there is always a doubling measure having it as its support. We use this fact to construct an integral operator that extends differentiable function…
On the existence of doubling measures with certain regularity properties
Per Bylund, Jaume Gudayol
Given a compact pseudo-metric space, we associate to it upper and lower dimensions, depending only on the metric. Then we construct a doubling metric for which the measure of a dil…