An improved Menshov-Rademacher theorem

DOI10.1090/S0002-9939-96-03151-6zbMath0861.42015OpenAlexW1652871820MaRDI QIDQ4875537

Ferenc Móricz

Publication date: 23 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03151-6

zbMATH Keywords

orthonormal systemsa.e. convergenceMenshov-Rademacher theorem

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (6)

The complete characterization of a.s. convergence of orthogonal series ⋮ On the convergence of orthogonal series ⋮ On the unconditional almost-everywhere convergence of general orthogonal series ⋮ On the constant in Meńshov-Rademacher inequality ⋮ Rearrangements of series ⋮ Extensions of the Menchoff-Rademacher theorem with applications to ergodic theory

Cites Work

• Almost everywhere convergence of orthogonal series revisited
• Moment inequalities and the strong laws of large numbers
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