Normkonvergenz von Fourierreihen in rearrangement invarianten Banachräumen

DOI10.1016/0022-1236(73)90059-1zbMath0258.42009OpenAlexW1985545988MaRDI QIDQ2559787

H. Johnen, Dumitru Gaşpar, Franziska Feher

Publication date: 1973

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(73)90059-1

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) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items

Hadamard multipliers and Abel dual of Hardy spaces, Regularization for Lozanovskii's type factorization with applications, Compact Hankel operators between distinct Hardy spaces and commutators, Monotonicity properties of interpolation spaces, Interpolation und Indexbedingungen auf rearrangement-invarianten Funktionenräumen. I: Grundlagen und die K-Methode, Der Konjugiertenoperator auf rearrangement-invarianten Funktionenräumen

Cites Work

• Conjugate functions in Orlicz spaces
• Interpolation theorems for operators in function spaces
• Interpolation of operators of weak type between rearrangement invariant function spaces
• Indices for the Orlicz spaces
• Reflexivity in the \(L^\lambda\) function spaces
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Indices of Function Spaces and their Relationship to Interpolation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item