Subsystems of the Haar system in spaces \(E_ \varphi\) with \(\varliminf_{t\to\infty} {{\varphi(t)}\over t}=0\)

DOI10.1007/BF01263305zbMath0798.42014MaRDI QIDQ1316881

Vadim I. Filippov

Publication date: 12 April 1994

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Haar systemconvergence in Orlicz norm

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (2)

On generalization of Haar system and other function systems in spaces \(E_\phi\) ⋮ On the completeness and other properties of some function systems in \(L_p\), \(0<p<\infty\)

Cites Work

• Orlicz spaces and modular spaces
• On some convergence properties of Haar-Fourier series in the classes \(\phi\) (L)
• On Sets of Completeness for Families of Haar Functions
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