A nondensity criterion for \(L^\infty(\mathbb R^n)\) in \(L^{p(\cdot)}(\mathbb R^n)\)

DOI10.1134/S0001434607070334zbMath1219.46028OpenAlexW2042665736MaRDI QIDQ635575

G. A. Kalyabin

Publication date: 20 August 2011

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

Full work available at URL: https://doi.org/10.1134/s0001434607070334

zbMATH Keywords

Banach spaceLuxemburg normmeasurable functionbounded function

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)

Cites Work

• On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators