Behavior of sequences of norms of primitives of functions depending on their spectrum

DOI10.1134/S1064562411060263zbMath1243.46015OpenAlexW1964543064MaRDI QIDQ653032

Juan-Miguel Gracia

Publication date: 6 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562411060263

zbMATH Keywords

\(L_p\)-norms of primitives

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

\(P\)-primitives and explicit solutions of polynomial differential equations in \(L^{\varPhi}(\mathbb{T})\)

Cites Work

• Behavior of the sequence of norms of primitives of a function
• On the Bernstein-Nikolsky inequality
• Paley-Wiener-type theorems for a class of integral transforms
• Real Paley-Wiener theorems for the inverse Fourier transform on a Riemannian symmetric space.
• On the Bernstein-Nikolsky inequality. II
• Properties of functions in Orlicz spaces that depend on the geometry of their spectra
• Spectrum of signals