2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69942Holomorphic removability is of importance in dynanical systems theory. P.W.Jones found that Sobolev removability can serve as a substitute. He proved a strong strong result for Hölder domains. The present work gives some results on the this and related matters.A 1993 idea of the author. Problem left to student. Wannebo and P.Jones later worked with this idea in parallell.Result Jones' and Smirnov's paper 1999 and the above results 1996. (Warning: Non locally bounded variation not treated.)Analysis of PDEsFunctional Analysis26B, 30D, 32FRemovability: First order Sobolev space, PDE solutions, holomorphic functions. - Sobolev space constructed in a new waytext