3 papers
math.FA2011
Factorization, Riemann-Hilbert problems and the corona problem
M. C. Camara, C. Diogo, Yu. I. Karlovich +1
The solvability of the Riemann-Hilbert boundary value problem on the real line is described in the case when its matrix coefficient admits a Wiener-Hopf type factorization with bou…
math.FA2010
Necessary Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data
Alexei Yu. Karlovich, Yuri I. Karlovich, Amarino B. Lebre
Suppose is an orientation-preserving diffeomorphism (shift) of $\mR_+=(0,\infty)$ onto itself with the only fixed points and . In \cite{KKLsufficiency} we found suf…
math.FA2000
One-sided invertibility of binomial functional operators with a shift in rearrangement-invariant spaces
A. Karlovich, Yu. Karlovich
Let be an oriented Jordan smooth curve and be a diffeomorphism of onto itself which has an arbitrary nonempty set of periodic points. We prove criteria for one-sided in…