Affine Walsh-type systems of functions in symmetric spaces

DOI10.1070/SM8859zbMath1405.42058MaRDI QIDQ4576888

Pavel A. Terekhin, Serguei V. Astashkin

Publication date: 11 July 2018

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Walsh functionsRademacher functionssymmetric spaceHaar functionsZygmund-Orlicz space

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

Related Items

Rademacher chaoses in problems of constructing spline affine systems ⋮ Basis properties of affine Walsh systems in symmetric spaces ⋮ Sequences of dilations and translations equivalent to the Haar system in \(L^p\)-spaces

Cites Work

• Rademacher functions in symmetric spaces
• Rademacher series in symmetric spaces
• Multiplicator space and complemented subspaces of rearrangement invariant space.
• Multishifts in Hilbert spaces
• On the existence of RUC systems in rearrangement invariant spaces
• Affine Riesz bases and the dual function
• Shifts on Hilbert spaces.
• On the best constants in the Khinchin inequality
• RUC systems in rearrangement invariant spaces
• Bicontinuous linear transformations in certain vector spaces
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