Dichotomies for Orlicz spaces

Rok, strany: 2016, 245 - 256

Assume that $\mathbf{L}^ψ,\mathbf{L}^ψ₁, …,\mathbf{L}^ψ_n$ are Orlicz spaces. We consider the size of the set $E^{(ψ₁,…,ψ_n)}_ψ = \{(f₁,… ,f_n)\in \mathbf{L}^ψ₁ ×…× \mathbf{L}^ψ_n: f₁… f_n\in \mathbf{L}^ψ\}$. We show that either it is very small (meager or $σ$-porous), or it is equal to $\mathbf{L}^ψ₁×…×\mathbf{L}^ψ_n$. This work is a continuation of our previous papers, where we considered a similar problem for $\mathbf{L}^p$ spaces and Lorentz spaces.

ISO 690:

Strobin, F. 2016. Dichotomies for Orlicz spaces. In Mathematica Slovaca, vol. 66, no.1, pp. 245-256. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0132

APA:

Strobin, F. (2016). Dichotomies for Orlicz spaces. Mathematica Slovaca, 66(1), 245-256. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0132