Pathological Properties of Weak 𝑳 𝒑 Spaces

Ali Rastegar, Ali Farokhinia
2015 Zenodo  
Weak 𝐿 𝑝 spaces, that are shown through this paper by 𝐿𝑤 𝑝 , are function spaces that are closed to 𝐿 𝑝 spaces, but somehow larger. The question that we are going to partially answer in this paper, is that how much it is larger. Actually we prove that 𝐿𝑤 𝑝 ℝ ∖ 𝐿 𝑝 ℝ ∪ 0 contains an infinitely generated algebra.
doi:10.5281/zenodo.3980668 fatcat:u4eeaufl25dg3ffsoc2mgm325u