The index of singular integral operators in reflexive Orlicz spaces (Q1290810)

The author considers singular integral operators with matrix coefficients in the reflexive Orlicz space \(L^n_M(\Gamma)\), where \(\Gamma\) is a curve which satisfies the condition \[ \text{arg}(\tau -t)=-\delta(t)\log|\tau -t|+O(1), \] for \(\tau\rightarrow t\). In the article the formula, which connects the index of an operator under consideration and the index of a characterising function, is presented.