The International Conference on Factorization, Singular Operators and Related Problems held from January 28 to February 1, 2002, at the University of Madeira, Funchal, Portugal, was dedicated to mark Professor Georgii Litvinchuk's 70th birthday. Experts in various fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of various topics of operator theory. The main topics of the conference were in the theory of singular type operators and in factorization problems, but other topics such as potential theory, fractional calculus and others were also presented. The 21 articles published in this book will be of great interest to researchers in Operator Theory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and others, as well as to graduate students requiring the most up-to-date results.