On the boundedness of subsequences of Vilenkin-Fejér means on the martingale Hardy spaces
Lars‐Erik Persson, George Tephnadze, Georgi Tutberidze
Abstract
In this paper we characterize subsequences of Fejr means with respect to Vilenkin systems, which are bounded from the Hardy space H p to the Lebesgue space L p , for all 0 < p < 1/2. The result is in a sense sharp.
Topics & Concepts
MathematicsMartingale (probability theory)Hardy spacePure mathematicsApplied mathematicsAdvanced Harmonic Analysis ResearchAdvanced Mathematical Physics ProblemsDifferential Equations and Boundary Problems