Abstract
In this paper we are concerned with integrability conditions and strong convergence properties of Walsh-Kaczmarz series that are derived from an inequality with respect to Walsh-Kaczmarz-Dirichlet kernels. Such type of inequalities, called Sidon type inequlities, have already been known for several other systems. The trigonometric and the Walsh-Paley-systems are among them. They turned to be useful in several areas including integrability conditions, strong convergence, strong approximation, and multipliers.
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