Fourier series and the conjugate function in the classes phi(L)

DOI10.1007/BF02201778zbMath0509.42007MaRDI QIDQ1838105

Peter Oswald

Publication date: 1982

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

zbMATH Keywords

symmetric spacesOrlicz spacesconjugate functionLpconvergence in the meanphi-distancetopological function spaces

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) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Conjugate functions, conjugate series, singular integrals (42A50)

Related Items (4)

Walsh-Fourier series and their generalizations in Orlicz spaces ⋮ On the completeness and other properties of some function systems in \(L_p\), \(0<p<\infty\) ⋮ Haar approximation from within for \(L^p(\mathbb{R}^d)\), \(0<p<1\) ⋮ On some convergence properties of Haar-Fourier series in the classes \(\phi\) (L)

Cites Work

• Period, index and potential \(\text Ш\)
• Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups.
• Conjugate functions in Orlicz spaces
• Stone Duality for Nominal Boolean Algebras with И
• The Brauer-Manin Obstruction and III[2]
• On some classes of linear spaces
• Unnamed Item
• Unnamed Item

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