On conjugations of circle homeomorphisms with two break points

Habibulla Akhadkulov, Akhtam Dzhalilov, Dieter Mayer

Let $f_i\in C^{2+\alpha }(S^1\setminus \{a_i,b_i\}),\alpha >0,i=1,2$ be circle homeomorphisms with two break points $a_i,b_i$, i.e. discontinuities in the derivative $f_i$, with identical ir…