On equivalence of rearrangements of the Haar system in dyadic Hardy and BMO spaces

DOI10.1007/BF01907541zbMath0736.42019OpenAlexW73465192MaRDI QIDQ1813321

Ferenc Schipp

Publication date: 25 June 1992

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01907541

zbMATH Keywords

rearrangementHaar systemdyadic Hardy spaceVMOWalsh-Fourier coefficientsdyadic spaces BMOHaar-Fourier coefficient

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items

Piecewise polynomial approximation methods in the theory of Nikol'skiĭ-Besov spaces ⋮ Haar system rearrangements in Lorentz spaces ⋮ On the equivalence of some rearrangements of the two-parameter Haar system ⋮ On rearrangements of the Haar system in the space BMO ⋮ Rearrangements of the Haar system in binary spaces \(H\) and BMO. ⋮ On the almost everywhere convergence of ergodic averages for power- bounded operators on \(L^ p\) subspaces ⋮ On rearrangements of the double Haar system ⋮ Sequences of dilations and translations equivalent to the Haar system in \(L^p\)-spaces

Cites Work

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• Rearrangements of the Haar system in \(L_ p-\)spaces
• Extensions of Hardy spaces and their use in analysis