Behavior of the sequence of norms of primitives of a function

DOI10.1016/j.jat.2009.12.011zbMath1204.46017OpenAlexW2081164669MaRDI QIDQ979035

Vu Nhat Huy, Ha Huy Bang

Publication date: 25 June 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.12.011

zbMATH Keywords

generalized functions\(L_p\)-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) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (12)

A study of the sequence of norm of derivatives (or primitives) of functions depending on their Beurling spectrum ⋮ An improvement of Bernstein's inequality for functions in Orlicz spaces with smooth Fourier image ⋮ Local spectral formula for integral operators on \(L_{p}(\mathbb T)\) ⋮ \(P\)-primitives and explicit solutions of polynomial differential equations in \(L^{\varPhi}(\mathbb{T})\) ⋮ Bernstein inequality for multivariate functions with smooth Fourier images ⋮ Behavior of sequences of norms of primitives of functions depending on their spectrum ⋮ Beurling spectrum of a function in a Banach space ⋮ Some spectral formulas for functions generated by differential and integral operators ⋮ A Bohr–Nikol'skii inequality ⋮ An extension of Bernstein inequality ⋮ Paley–Wiener theorem for functions inL_p(ℝⁿ) ⋮ A Bohr-Nikol'skii inequality for weighted Lebesgue spaces

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