Investigation of Haar and Franklin series in Hardy spaces

DOI10.1007/BF02073771zbMath0496.42011OpenAlexW2321476003MaRDI QIDQ1170461

Peter L. Simon, Ferenc Schipp

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02073771

zbMATH Keywords

Hardy spacemaximal functionatomdyadic Hardy spacesquare function

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35)

Related Items (5)

Investigations of certain operators with respect to the Vilenkin system ⋮ Ортогональная система Франклина и ортогональная система финитных функций в численных методах решения краевых задач ⋮ Basis properties of Hardy spaces ⋮ Fejér summability of multi-parameter bounded Ciesielski systems ⋮ Remarks on the shift operators with respect to the Haar and Franklin systems

Cites Work

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• The Franklin system is an unconditional basis in \(H_ 1\)
• Isomorphismes entre espaces \(H_ 1\)
• On the integrability of the martingale square function
• Extrapolation and interpolation of quasi-linear operators on martingales
• Equivalence of Haar and Franklin bases in $L_{p}$ spaces
• Extensions of Hardy spaces and their use in analysis
• Constructive function theory and spline systems
• Properties of the orthonormal Franklin system, II
• Properties of the orthonormal Franklin system

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