Fermat's Last Theorem in star-invariant subspaces: capacity-zero boundary spectrum

Stephan Ramon Garcia

We prove that the Fermat equation $f^n+g^n=h^n$ with exponent $n\ge 4$ has no nontrivial solutions $f,g,h$ in the star-invariant subspace $K_{\theta }^p$, in which $1\le p\le \infty$, wh…