Abstract:

The Hilbert boundary value problem
Re{(t) p
p +(t)} = c(t), t 2 L
of normal type with H¨older continuous coefficients is discussed, where L is the unit circle
|t| = 1, p  2 is any definite integer,  +(t) is the boundary value of the unknown function
 (z) holomorphic in |z| < 1 with single-valued continuous p
p +(t) on L.

Key words: Hilbert boundary value problem, index, class h0, Plemelj formula, normalized
canonical function