Almost everywhere convergence of Banach space-valued Vilenkin-Fourier series

DOI10.1007/s10474-007-5289-1zbMath1174.42339OpenAlexW2083666550MaRDI QIDQ2460665

Ferenc Weisz

Publication date: 12 November 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-5289-1

zbMATH Keywords

atomic decompositionUMD spacesvector-valued Hardy and BMO spacesvector-valued Vilenkin-Fourier series

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Spaces of vector- and operator-valued functions (46E40) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Banach lattices (46B42) Martingales and classical analysis (60G46)

Cites Work

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• Extension of a result of Benedek, Calderón and Panzone
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Pointwise convergence of expansions with respect to certain product systems
• Martingale Hardy spaces and their applications in Fourier analysis
• Operator-valued martingale transforms
• Weighted inequalities for vector operators on martingales
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Vector-valued extensions of operators on martingales
• On convergence and growth of partial sums of Fourier series
• Operator-valued martingale transforms and R-boundedness
• Hardy Spaces of Vector-Valued Functions: Duality
• On a generalization of the concept of derivative
• Almost Everywhere Convergence of Vilenkin-Fourier Series
• Atomic Decompositions and Inequalities for Vector-Valued Discrete-Time Martingales