We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov’s inequality. In fact we prove that they ...

The theory of functions of a complex variable plays an increasingly important part in the applications of mathematics to physical problems.

Fundamental methods are developed for the derivation of the probability density function and moments of rational algebraic functions of independent random variables. Laplace and Mellin integral ...