Abstract
Abstract We give a transference maximum inequality establishing interrelation between the sign-convergence and the rearrangement convergence of functional series. We use this inequality to get a generalization of the Maurey and Pisier sign-permutation relationship and the general Garsia and Nikishin type local inequalities, as well as the Nikishin and Garsia convergence theorems on the almost sure convergence of functional series. We also get some maximum inequalities that might be useful in the analysis of the Kolmogorov Rearrangement Conjecture on the systems of convergence of orthogonal series as well as Garsia’s local form of the conjecture.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
